Is \$mathbb{E}left(left| X right| right) < infty\$ if and only if \$mathbb{E}left(X^2right) < infty\$?

Given a random variable, $$X$$, in a probability space, $$(Omega, mathbb{P})$$, do we have that $$mathbb{E}left(left| X right| right) < infty$$ if and only if $$mathbb{E}left(X^2right) < infty$$?

If not the does one imply the other?

Thanks!