ConstraintLayout - Aligning two views to center vertically against another view

Add app:layout_constraintVertical_chainStyle="packed" to the first TextView to change the style of the chain. The default style is spread which will leave a space between the chained views to spread them equally. The packed style will pack them together with a default bias of 0.5 which is what you want.

EDIT for the updated question:

<?xml version="1.0" encoding="utf-8"?>
<androidx.constraintlayout.widget.ConstraintLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <ImageView
        android:id="@+id/vh_buisnesspost_buisness_preview"
        android:layout_width="100dp"
        android:layout_height="100dp"
        app:layout_constraintTop_toTopOf="parent"
        app:layout_constraintLeft_toLeftOf="parent"
        android:layout_margin="16dp"
        android:background="@drawable/background_circle_preview_border"/>

    <TextView
        android:id="@+id/vh_buisnesspost_buisness_name"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:text="Buisness Name"
        android:textStyle="bold"
        android:textColor="@color/colorBlackFont"
        app:layout_constraintVertical_chainStyle="packed"
        app:layout_constraintStart_toEndOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintTop_toTopOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintBottom_toTopOf="@+id/vh_buisnesspost_date_posted"
        android:layout_marginStart="16dp"/>

    <TextView
        android:id="@+id/vh_buisnesspost_date_posted"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:textSize="12sp"
        android:text="2 mins ago"
        app:layout_constraintStart_toEndOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintBottom_toBottomOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintTop_toBottomOf="@+id/vh_buisnesspost_buisness_name"
        android:layout_marginStart="16dp"/>

    <TextView
        android:id="@+id/vh_buisnesspost_post_type"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:textSize="12sp"
        android:text=" \u2022 Restaurant"
        app:layout_constraintStart_toEndOf="@+id/vh_buisnesspost_date_posted"
        app:layout_constraintBottom_toBottomOf="@+id/vh_buisnesspost_date_posted"
        app:layout_constraintTop_toTopOf="@+id/vh_buisnesspost_date_posted"/>


</androidx.constraintlayout.widget.ConstraintLayout>

Wrapping the two text view inside a linear layout does the trick

 <LinearLayout
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:orientation="vertical"
        app:layout_constraintBottom_toBottomOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintStart_toEndOf="@+id/vh_buisnesspost_buisness_preview"
        app:layout_constraintTop_toTopOf="@+id/vh_buisnesspost_buisness_preview">

        <TextView
            android:id="@+id/vh_buisnesspost_buisness_name"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_marginStart="16dp"
            android:text="Buisness Name"
            android:textColor="@color/colorAccent"
            android:textStyle="bold"/>

        <TextView
            android:id="@+id/vh_buisnesspost_date_posted"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_marginStart="16dp"
            android:text="2 mins ago"
            android:textSize="12sp"/>
    </LinearLayout>

try this sample it dosn't require other ViewGroup only ConstraintLayout

<?xml version="1.0" encoding="utf-8"?>
<androidx.constraintlayout.widget.ConstraintLayout  
xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:app="http://schemas.android.com/apk/res-auto"
android:layout_width="match_parent"
android:layout_height="match_parent">

<ImageView
    android:id="@+id/image"
    android:layout_width="100dp"
    android:layout_height="100dp"
    android:layout_margin="16dp"
    android:background="@drawable/background_circle_preview_border"
    app:layout_constraintLeft_toLeftOf="parent"
    app:layout_constraintTop_toTopOf="parent" />

<TextView
    android:id="@+id/textView1"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:layout_marginStart="16dp"
    android:text="Buisness Name"
    android:textStyle="bold"
    app:layout_constraintBottom_toTopOf="@+id/textView2"
    app:layout_constraintStart_toEndOf="@+id/image"
    app:layout_constraintTop_toTopOf="@id/image"
    app:layout_constraintVertical_chainStyle="packed" />

<TextView
    android:id="@+id/textView2"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:text="2 mins ago"
    android:textSize="12sp"
    app:layout_constraintBottom_toBottomOf="@+id/image"
    app:layout_constraintStart_toStartOf="@id/textView1"
    app:layout_constraintTop_toBottomOf="@id/textView1" />


</androidx.constraintlayout.widget.ConstraintLayout>