How warm are you talking and what species? There are southern species of sturgeon that can easily tolerate regular room temps in the lower 70s. If you mean a tropical set up then, no. Keeping sturgeons long-term in tropical temps is usually one problem after another. Spiral disease and other neurological issues are fairly common problems along with nose-up dancing at the surface from lower DO issues to irregular hormone production to amino acid degradation. You're going to hear from countless people that they've kept sturgeons in tropical setting with no issues. But, in 50+ years in this hobby, I've yet to see any of these 'tropical' sturgeons passing juvenile size.