I have a hampton bay ceiling fan that works by remote and I can only get the fan to move very slow, the lights work fine. Can I fix this?

Does it have pullchains?

No

Try pressing and holding down the high speed button on the remote for about 6-8 seconds.

It is most likely a bad capacitor in the remote control, and you will likely have to replace the remote receiver.

http://www.ceiling-fans-n-more.com/ceiling-fan-remotes.php

It is most likely a bad capacitor in the remote control, and you will likely have to replace the remote receiver.

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