Can I close some of my credit cards that I no longer use? Will that negatively impact my credit score?

Closing an account lowers your total available credit, which will raise your utilization. Utilization accounts for 30% of your FICO score. Closing accounts and thereby raising your utilization will negatively impact your FICO score/rating.

In addition, if you’re planning a major purchase (home or auto purchase/lease) in the next 1 to 2 years, closing accounts may mean a higher interest rate charged by the lender.

Really, the only reason to close an account is because they’re charging an annual fee and offering few or no rewards.

This is off-topic but yes, closing paid-off credit cards almost always negatively impacts how lenders evaluate you.