I voted no. Although I suppose you could make an argument for MLS as KevFu did, MLS is at 30 teams and there's bigger markets like Phoenix, San Diego, and Las Vegas that have a better shot for teams 31 and 32. It would seem to me that ABQ would not be high on the radar unless the right owner stepped up to the plate.
Everything else though, I think is a solid no. Albuquerque isn't very big, its metro population is below a million and also below MSAs like Bridgeport, Omaha, and Tulsa among others. There doesn't appear to be a lot of corporate support for a franchise, the two largest employers according to Wikipedia are the Air Force base and the University of New Mexico. As such, wealth is not as aplenty in bigger markets. I googled "New Mexico billionaires" and got the Maloof brothers as the state's richest resident, which is interesting because I wasn't aware they resided there since they are based out of Las Vegas and are minority owners of the Knights. After them is a gentleman named Mack Chase, valued at $900 million. So not really a potential owner here unless someone from Texas or California wanted to get involved.
Interestingly in their favor however, their TV market ranking is higher than markets like Memphis, Buffalo, and Louisville, and only a few ticks below OKC and Jacksonville. There's also the factor that they would have a pretty big geographical state to themselves, albeit sparsely populated. But ultimately I don't think there's enough here to make it work, and I doubt the market is high on the "radar".
I said this in another thread. I think if there's one "untapped" market left in the USA, that market would be Louisville (Austin got their MLS franchise). Everything after Louisville is going to be a very hard sell for the BoG's regardless of what league they represent.