No, it does not. It allows Congess to declare war, but it certainly does not require such a thing. Usually it is believed Congressional approval is enough for military action, such as that given for Iraq and Afghanistan.
There is also considerable debate as to just
when such a congressional authorization is required.
There is no debate that the Prez has the authority to command the military. That the congress has authority to declare war doesn't lessen that. A conflict arises when, if at all, an order by the prez creates a state of war.
I don't think anyone except Ghadafi believes the no-fly zone is meant as an all-out war between the United States and the the state of Libya. As such, I'm comfortable that no declaration of war is necessary, and that at least during the early phases of the operation, not even an authorization of force is necessary from congress. If the operation persists for a while then an authorization would become appropriate in order for the action to continue. But we're not there yet.
To repeat what I said earlier, I trust that if this mess lasts long enough to merit an authorization from congress, such will be provided by congress.