Nick here from Shopify.
I took a look into this for you. A split payment type of system is definitely something which is possible on a Shopify store. It isn't something which is native to the Shopify platform and would require you to look into an app or custom set up. Some of the most popular split payment apps in the Shopify app store can be found below:
A possible alternative would be to reach out to a Shopify Expert directly and see if this is something that can be made custom and if so if it is cost effective.
Hope this helps and points you in the right direction for best next steps.
All the best,
Our app, GiftWizard, handles everything connected to SVC (Stored Value Cards) on Shopify.
We support debit cards for stores (a rechargeable gift card customers can load with cash).
You can check it out here: