Is it possible to find a replacement for a Hampton Bay ceiling fan remote control?

Sure, many stores will have a universal remote but Hampton Bay is strickly a Home Depot brand. Try there first, you may need to play with the dip switches.

Pretty much covered. Either you use a universal replacement, or contact the manufacturer directly.

Ceiling fan remote controls - help and FAQ- Ceiling Fans N More (http://www.ceiling-fans-n-more.com/ceiling-fan-remote-controls.php)