Using a Print On Demand as only part of my store

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Hey good folk of Shopify.

I am looking to open up a store soon for selling artisan cookies for delivery in my local area in the UK. I would love to able to offer some form of apparel too. I see there are print on demand companies I can add but my question is this:

Can I have the print on demand apparel bit as a segment of the shop and when people order (for example a box of cookies and a t-shirt) I get the cookies part of the order come through to me and they get the t-shirt part? 

I hope that makes sense. And also that it's possible, of course.

Many thanks in advance folks.