Yes, I use Titebond liquid hide glue all of the time for simple repairs and I have even used it for entire builds too.    The other liquid hide glue is Old Brown Glue.  

Note that if the weather is on the cool side, it can become thick and gel-like.  Just fill a cup with some hot water from the tap and submerge the bottle for a few minutes to re-liquefy it.  Warming it a little like this can give you a longer open time and make it flow better even when its not cool.  I actually keep my liquid hide glue in my shop fridge to extend its shelf life so when I want to use it I usually have to warm it up.   After it sets, you can clean up squeeze out using water (I usually use warm water) with an abrasive pad.  Just use a towel immediately afterwards to dry off the wood.  

--Nathan, TX. Hire the lazy man. He may not do as much work but that's because he will find a better way.