It is very, very likely. Russian leadership see Ukraine as a Russian province, and the heart of the russian motherland, and they will treat western armies there as invaders - they are prepared to risk everything to keep that from happening.
"A shame your tanks exploded. Perhaps their car warranty expired?"
For all we know, this is already happening.
Go back to 1986, and imagine what the Soviet response would be if NATO would have breached the Iron Courtain and would have fighter planes and tanks in Kiev. This is what we're dealing with here.