Gal Gadot, who is playing Wonder Woman, also posted an image of herself on Instagram - rock climbing as well - with mention she is training with Mark Twight, who is Zack Snyder's choice of trainer for the films.
We can speculate from the two images that Gadot and Momoa are working out at the same location.
Jason Momoa is currently rumored to be playing Aquaman.
"Batman v Superman: Dawn of Justice" has a newly announced May 6, 2016 release starring Ben Affleck as Batman, Henry Cavill as Superman, Gal Gadot as Wonder Woman, Amy Adams as Lois Lane, Laurence Fishburne as Perry White, Diane Lane as Martha Kent, Jeremy Irons as Alfred, Jesse Eisenberg as Lex Luthor, Ray Fisher as Cyborg with Callan Mulvey, Holly Hunter and Tao Okamoto in new character roles for the film. Justice League is to follow directed by Zack Snyder as well.
For more news on the "Man of Steel" and related movies head on over to the Cosmic Book News Superman movie hub.