Yes, jack up the front end until both wheels are clear of the ground and push/pull on the tire at the 12 and 6 o'clock position (basically try to rock it inward and outward). Side to side won't tell you anything.
If you get play in a hub it will show.
Axles I usually just grab the cv shaft inbetween the booted areas and push up on it. If there is excessive play then that cv is likely getting worn. There might be a better way to check an axle on here somewhere, it's just what I personally do.