Comparing event $X$ and $Y$, if $P(X) = o(1)$ and $P(Y) = \Omega(1)$?

Question

Consider two probabilistic events $X$ and $Y$:

if $P(X) = o(1)$ and $P(Y) = \Omega(1)$ (where $o(.)$ and $\Omega(.)$ are little Oh-notation), is it possible to compare the two event $X$ and $Y$? (for example to say, event $Y$ is much likelier than event $X$)