Will Post- Facelift Staple Removal Improve Skin Tightening?

That would depend entirely on where the staples are, and the tension on them.  I doubt the improvement will be substantial, but there are too many details missing to know for sure.

No, unfortunately removing staples will not improve tightness.  The tightness will continue to improve as you heal and the swelling goes down.  Good luck1

Removing your surgical staples won't produce further tightening of you face. This early from surgery you still have some healing to do in addition to swelling that will subside.