Evolv Footwear Company have several versions of rock climbing shoes that are vegan friendly including:
Predator G2
Talon G2
Defy VTR
Bandit
Elektra VTR
Rockstar
Pontas
See the Evolv website for further information.
5.10 has numerous versions of rock climbing shoes made from Cowdura, a man made synthetic material.
Vegan models include:
Quantam Purple
Hornet
Anasazi Arrowhead
Anasazi LV - Lapis Teal
Anasazi Lace-Up - Blanco
See the 5.10 website for further information.