Wouldn't be possible sadly with the way sheets work in this game. It would mean creating an entire new sheet for every single cosmetic in the game just to make this one work.
The closest possible would be the standard walking animation but moving at a faster pace. (and I am unsure if you'd still be able to have the follower pokemon be displayed behind you)
Salutations @Lykabaws,
It is I, Bozo, residing at the magnificent Sweetsland. I aim to break norms with my wacky forms.
I wish you the best of luck in your hunts, and have a great time on PRO!
Mew used Cosmic Power!
Mew's Defense rose!
Mew's Sp. Def rose!
(Really cool form! I like it, reminds me of the first Pokemon anime opening with Mew and Mewtwo flying through space!)