The answer is yes, technically it can if sufficient motivation is there. The real question is *will it*?
Also there isn't some special doctrine and special equipment here. Mechanized warfare in this form has not changed much from the late cold war on either side, and most of the equipment involved is just various modifications and improvements of gear that was designed (if not built) back then. Don't forget that available equipment also shapes the doctrine. The war is in a stalemate because neither side can do the massive maneuver warfare moves cold war doctrines would call for due to various shortcomings preventing their success (occasionally it did happen in this war, sometimes successfully, sometimes not), but if one side manages to amass the right resources to overcome those, it would not surprise me if Ukraine repeats Kharkiv counteroffensive somewhere else.
Of course a second rate ex-USSR airforce cannot make itself as relevant as expected of NATO forces, that much is not a surprise. If Ukraine had something like 200-300 western tactical jets, including EW/wild weasel ones, naturally their air force would be more relevant.
