Can you pair Lutron Caseta Diva smart dimmer with Philips Hue bulbs?

Yep! I already have that hub (as well as the Hue hub) in my current setup as I've been using Pico remotes.

I've secured the Pico remotes with tape + magnets to Mitzvah light covers that go over my dumb light switches (see here for pics). Even though this solution has been good, I'd like something more permanent/attached to the wall at my new place.