Integrating PrintFull with MarketPress

Hi,
I have a client that wants to sell items using printfull.com (https://www.theprintful.com). Apparently, printfull connects/integrates with a store that I set up on our website. They integrate with Woocommerce, Shopify, etc... and I'm wondering if it's possible for it to integrate with MarketPress.

Here's a list of the platforms: https://www.theprintful.com/landing/overview-print-products-fulfillment

but under that, it says:
If these ecommerce platforms don't meet your needs, you may use our API and have your developers hook it up to whatever system you have.

Thanks!