The hot water handle in the bathroom sink is leaking. Any easy fix?

Depends on what the leak is from. It may be as simple as tightening the packing nut or replacing an O ring. Picture? Brand?

I think it is Pegasus.

It is leaking between the ring that goes at the bottom of the handle and the actual sink.

You should be able to get a rebuild kit at HD, that is their brand. Probably leaking past sn O ring.

Since you specified hot side can we assume that this is a two handle faucet?

Yep, two separate handles for hot an cold.

Remove handle.
Remove eschution. That's the pretty part you see. Probably screws off. You should then see a nut around the stem. That is the bonnet nut. It keeps water from coming out around the stem. Temporarily put handle back on and open the faucet. Tighten the bonnet nut until water stops leaking around the stem. About 1/8 to 1/4 turn.

You're the best, I'll try that!