I mean a lot of things to happen, and with current coalitions I think it would be one of the more plausible of the most non-Atlas red states to maybe become slightly less safe, if Tulsa and OKC growth were to accelerate and white population percentage shrinks. However. That would still take a very long time, even with the most accelerated trends, long enough that the current coalitions will probably no longer exist. Short answer: probably not, during this party system.
One day? Probably. Anytime soon? No.
Isn't Oklahoma projected to be a majority minority state in a few decades?
A good chunk of that comes from self-identified Native Americans who have largely assimilated into the background white culture, and thus tend to skew Republican.
But I would think another good chunk would come from Hispanic and Asian-American populations in OKC and Tulsa, no?
