No, they have more than 1000 tanks in use. However they realized a year ago that they can't get more and so every tank lost is gone for the remainder of the war. They have been forced to make hard decisions to not use them if the risk is high. This limits their usefulness but ensures they have them.
Many of the tanks left are not in Ukraine. They have a long border that needs tanks near just in case someone is stupid enough to attack them