Judging by the picture, it depends on whether you want to be a grand parent sometime in the future? 😆
The stand-over height doesn’t seem enough, particularly if you factor in the extreme slope of the top tube due to the forks, it’s less than nil if he stands infront of the saddle. Not confidence inspiring. If you binned the forks and put something shorter, then it might make the geometry too twitchy – again not confidence inspiring for him.
However, I think he is definitely tall enough to go onto 26 inch wheels. It really depends on why you want to go to larger wheels. My experience is that bigger wheels will be good if you are trying to do longer rides with him as they roll faster than 24s. (just as 29s roll faster than 26s). But if he is just doing shorter and more technical stuff, jumps, etc… he might be better staying with 24s.
PS. You don’t say how much riding he does / how competent he is on a bike? That will be a big factor.
Hope this helps,
Andy