Answer
Possible.
Work Step by Step
$\sin\theta=\frac{1}{2}\in [-1,1]$
$|\csc\theta| =2\gt1$
Both $\sin\theta$ and $\csc\theta$ are within their ranges and also the reciprocal identity is satisfied ($\sin\theta=\frac{1}{2}=\frac{1}{\csc\theta}$). Therefore, the given statement is possible.