No. These are modernist labels foreign to the nature of Catholicism. One is either Catholic or not.
Catholic doctrine is objective, unchanging truth. To say one is a “conservative Catholic” implies that there are different legitimate versions of Catholicism, which is false. Those who resist modernist innovations are simply Catholics, not a faction or party within the Church.
The terms "liberal Catholic" or "conservative Catholic" come from politics, not theology — and only obscure the reality: Vatican II changed the religion, and traditional Catholics reject that change.