I'd be sure it isn't actually just wired dumb. Look at what you have in the box for the ceiling fan and for the lights. There may be a way around it. If you haven't cracked the boxes open you can't know for sure.

If smart bulbs don't do it for you, there are devices that install inline with a fan/light combo to control them separately with a remote. It is typically used for cases where a single switch controlled a light and fan combo. The thing (typically) would install in the fan canopy.