Would like to create a "Trading Post" on a wordpress installation

Hello!

I would like to make a Trading Post using wordpress somehow where people can trade products.

As of right now, This is what I’m looking to create:

A Swap List – where they list the products they want to swap/trade.
A Wish List – where users can list what products they’re looking to swap/trade for.
A feedback section on the user’s profile where people can leave negative/neutral/positive feedback after the swap/trade is said and done.

Do you think this is something that can be done with Custom Post types? Or do you have another suggestion as to how I can make this possible?

Thank you so much!!