No, since quantum mechanics and relativity only disagree about what happens to spacetime on very small scales (e.g., they disagree on what happens to matter in the singularity of a black hole). The nature of time and space isn't really addressed by quantum mechanics, so there's not much for them to disagree on.
Relativity, as it stands today, is probably wrong. But it's right enough that we know time to exist as much as space and matter exist (much as, though classical mechanics is wrong, it's still right enough that we know billiard balls will roll in a straight line).