Is this topology work for games?

Hi Deb,

I'm not an expert, but that's probably fine for games. Assuming it's not a deforming Mesh. At least as far as those stretchy Triangles are concerned.

I think that the 'spherical' details are too dense; those could be simplified a lot and be mostly covered by Normal Maps.

I think you can totally make it even more efficient. There's lots of faces that are not contributing to the overall shape and can be removed or made Ngons.