Not a likely path, but theoretical could happen depending on when you joined (some of the positions were downgraded at later times). And yes the higher you get the less time that you would spend on the tanks, more in a office but would keep you on the tanks.
2nd Lt. Armor Platoon Leader
1st Lt. Armor Company Executive Officer
Cpt. Armor Company Commander
Maj. Armor Battalion S-3 (still has a tank)
LTC. Armor Battalion Command (still has a tank)
COL. Brigade Executive Officer (my first BDE had one Brad, and one M1 for the XO and Commander, normally one was Inf and one was Armor.)
Brigadier Gen. Brigade Commanding Officer (again see above, my first brigade was commanded by a Brigade when I first got there, later was down graded to a COL position.)
Major Gen. Division Commanding Officer (No idea how much time he spent on it, but he had one.)