Let's imagine a reasonable, say, 3 season production. A real vision, something classy.
Unlikely. The standard Hollywood contract is
a five-year minimum, studio's option to renew. If they signed actors to less than that, like UK did with the recent incarnation of "Doctor Who", they'd have their lead actors dropping out mid-stream. And when/if the show is popular enough to renew, the actors' agents put their prices way up.
Also, the expensive standing sets for Star Trek TV series are budgeted across the assumption of a five-year run. TNG didn't really start making Paramount money until Season Six.