Hi, @danilee. Welcome to the Community!
Yes, you can use multiple dropshipping, or print on demand companies on your store. In order to account for the different shipping rates between suppliers, the first thing you’ll need to make sure is set correctly is the ‘Inventory managed by’ on your products (see screenshot below). This is found in the Inventory section on each of your products listed in Products in your admin. Assigning the supplier to their corresponding products helps automate the ordering process, but is also what allows you to set up separate shipping profiles for each supplier.
Next, there are a few strategies to consider when deciding on the right shipping settings for your store:
For additional context about the shipping strategies for this type of business model, I recommend reading through the Dropshipping and fulfillment services Help Doc.
Hope this helps! If you have any other questions or need further clarification about this, just let me know.