I don't think it does - having said that, I am 99% sure that hypergeometric distributions are no more relevant next year than they are now, so I wouldn't worry about them too much if it's just for VCE purposes. (if it's for funsies, CAS is pretty useless past VCE, so I wouldn't worry about trying to find CAS functionality for it.
)
Useless past VCE? If I didn't lose my CAS, I'd still be using it now to check my solutions to differential equations, invert matrices, confirm solutions to simultaneous equations etc

As a result, have to use Wolfram for that which isn't quite as convenient.
As for the OP, if you can't find it, you might just have to define a separate function as that distribution. You sure it's not in probability -> distributions? As above, I've lost my CAS so I can't confirm.