SwiftUI Form with Multiple EditButtons

There is no inbuilt thing for set different editing mode for each section.

But you can use it explicitly to set editing mode and disable/enable delete and move action for each row.

Here is the possible solution demo.

For this, you need to first create your own EditButton with a binding bool value.

struct EditButton: View {
    @Binding var isEditing: Bool

    var body: some View {
        Button(isEditing ? "DONE" : "EDIT") {
            withAnimation {
                isEditing.toggle()
            }
        }
    }
}

Now your Form view is.

struct ContentViewEditModeDemo: View {
    @State private var section1: [String] = ["Item 1", "Item 2"]
    @State private var section2: [String] = ["Item 3", "Item 4"]
    @State private var isEditingSection1 = false
    @State private var isEditingSection2 = false
    
    private var isEditingOn: Bool { //<=== Here
        isEditingSection1 || isEditingSection2
    }
    
    var body: some View {
        Form {
            // Section 1
            Section (header:
                        EditButton(isEditing: $isEditingSection1).frame(maxWidth: .infinity, alignment: .trailing) //<=== Here
                        .overlay(
                            HStack {
                                Image(systemName: "folder")
                                    .foregroundColor(Color.gray)
                            Text("Section 1")
                                .textCase(.none)
                                .foregroundColor(Color.gray)
                            }, alignment: .leading)
                        .foregroundColor(.blue)) {
                ForEach(section1, id: \.self) { item in
                   Text(item)
                }
                .onDelete(perform: deleteSection1)
                .onMove(perform: moveSection1)
                .moveDisabled(!isEditingSection1) //<=== Here
                .deleteDisabled(!isEditingSection1) //<=== Here

                // Add item option
                if isEditingSection1 { //<=== Here
                    Button ("Add Item") {
                        // add action
                    }
                }
            }
            
            // Section 2
            Section(header:
                        EditButton(isEditing: $isEditingSection2).frame(maxWidth: .infinity, alignment: .trailing) //<=== Here
                        .overlay(
                            HStack {
                                Image(systemName: "tray")
                                    .foregroundColor(Color.gray)
                                Text("Section 2")
                                    .textCase(.none)
                                    .foregroundColor(Color.gray)
                            }, alignment: .leading)
                        .foregroundColor(.blue)) {
                ForEach(section2, id: \.self) { item in
                    Text(item)
                }
                .onDelete(perform: deleteSection1)
                .onMove(perform: moveSection1)
                .moveDisabled(!isEditingSection2) //<=== Here
                .deleteDisabled(!isEditingSection2) //<=== Here
                
                // Add item option
                if isEditingSection2 { //<=== Here
                    Button ("Add Item") {
                        // add action
                    }
                }
            }
        }.environment(\.editMode, isEditingOn ? .constant(.active) : .constant(.inactive)) //<=== Here
    }
    
    func deleteSection1(at offsets: IndexSet) {
        section1.remove(atOffsets: offsets)
    }
    
    func moveSection1(from source: IndexSet, to destination: Int) {
        section1.move(fromOffsets: source, toOffset: destination)
    }
    
    func deleteSection2(at offsets: IndexSet) {
        section2.remove(atOffsets: offsets)
    }
    
    func moveSection2(from source: IndexSet, to destination: Int) {
        section2.move(fromOffsets: source, toOffset: destination)
    }
}