Yes, with StoreHippo marketplace script you can build an online t-shirt marketplace .With StoreHippo multi-vendor solution you get the following features:
You can check detailed multi-vendor ecommerce features here.
You can find detailed guides to help you set up your multi-vendor online marketplace here.
Along with these we also have 300+ inbuilt features for handling end to end ecommerce.
You can check the platform and features by starting your 14-day free trial store