Answer
False.
With two angles we can find the third angle. Then applying the law of sines, knowing one side, we will find only one solution to the two other sides.
Work Step by Step
$\frac{a}{sin~A}=\frac{b}{sin~B}=\frac{c}{sin~C}$
If we know $a,A,B,C$, there is only one solution for $b$ and $c$.