Sure you can. It's called an injunction.
A court would be reluctant to grant one, but if WVU is seen as having no legal leg to stand on, it is definitely a method of relief open to the BE.
Frankly, I think WVU's legal argument is bunk. I think an equally compelling argument could be made that asks: 'was it not reasonably foreseeable that schools might decide to leave the conference when you (WVU) voted on the by-laws? Did you not account for this foreseeability when you voted for the restrictiveness measures (e.g. waiting time - 27 months, and buyout fee $5M)? ' There may be something to the breach of fiduciary duty stuff - but that lies in the facts, which not of us have. It was a good settlement-inducing attack on Marinnato.
Legally, I personally think WVU will have a tough time saying it wasn't foreseeable and therefore a tough time establishing an 'out' for themselves based on Pitt's and SU's declared departure. If the court agrees with me, then WVU is going to wind up in a bad spot... because once this central argument falls away, I actually see nothing standing in the path of the BE attaining injunctive relief.
That all being said - I think it ends up settling. No one gains from this making its way to court - but my personal opinion is that the WVU lawsuit is frivolous.