Can Create, Update and Delete actions be done in Salesforce REST API using Postman?

I am attempting to use Postman to perform CRUD operations in Salesforce. I am able to do Read operations, but not the other 3 operations. My Postman is obviously authenticated and my account is authorized in Salesforce to do the other operations. My user's profile is API Enabled. But I can't do the other 3. Does Salesforce REST API just not work for write operations?