Sure you can. And when you do, your wife will remain fully financially obligated to fulfill the lease she signed.
The LL can hold her liable for the unpaid rent until the unit is re-rented, or until the end of the lease, whichever comes first. Plus they can go after her for payment of all of LL's damages and expenses to find a new tenant, including advertising and screening costs. Depending on how much of a deposit was given to the LL, that money may be unrecoverable if the costs for breaking the lease exceed the deposit amount, plus she can be sued for the rest.