Nah, nothing on Earth can live in lava. Lava temperature is around 700-1200C, so no carbon/water based lifeform would survive there. Randomly checking NIH, an
article speculates that 150-180C would be the absolute maximum for biochemistry as we know it. In laboratories, black smoker organisms seem to retain some biochemical activity up to 150C, but not necessarily survive/thrive as full, living organisms. The more famous hot spring archaea typically like it under 100C, though above is possible as well, perhaps up to 110-120C, but even then survival is a different thing from thriving.