Can financial aid such as Pell Grant still be awarded if you choose to study abroad independently?

You’re asking about Pell money which tells everyone that you don’t have a LOT of funding on your own.

Repayment on a loan is a big deal. Getting a degree does not presume that you will be immediately employed with decent wages.

You are assuming that you will land a “decent paying job”, but the rest of us know that such things may or may not happen.
Your loan could be sold to another company-which does happen.
Locale of this “decent paying job” affects your costs for transportation, living expenses, etc.