LeVar Burton confirmed with Whoopi Goldberg on today's episode of The View that he is not appearing in Season 2 of Picard.
Seasons 2 and 3 are supposed to be filmed back to back because Stewart's contract with CBS expires at the end of 2021. Gates McFadden and LeVar both confirmed last year that producers of Picard had discussed the possibility of appearing on the show at some point, but it could have be for the third (and probably final) season.