Will this transformer support doorbell camera v2?
The camera specs state: “Wyze Video Doorbell v2 requires a power input of 16-24V AC”. The transformer shows output current is 24V, so should work. If you have a multimeter, simply check the output across the terminals.
Thank you for including a clear photo! 
The suggested power output for Video Doorbell v2 is a minimum of 10 VA, and the engraving on the one in the photo looks like it’s only 3 VA. You can try it, but I’d be inclined to just replace this transformer with something newer. I’ve been running Video Doorbell v2 for several years off a 16 V, 10 VA transformer with good results, but some users seem to prefer something in the 16-24 V, 30 VA range, so I’d probably consider something like that if I needed a replacement, especially if I intended to drive more than one video doorbell.
Welcome to the Forum, @Scopemonkey! 