There has been buzz that Paramount's Brad Grey wants to build a TV studio to help insulate and diversify the studio. It's still part of Viacom, and Viacom has CBS focused on television production and Paramount focused on film production, however such a move may make room for a Star Trek TV series.
Given that neither Viacom nor Paramount has the rights to make a Star Trek TV series, I wouldn't hold my breath.
Here's the lowdown regarding Trek's ownership. There was a time in which Star Trek was wholly owned by Paramount (which in turn, was owned by Viacom). But that ended in 2006 when Viacom and its sister/rival company, CBS, were separated and Paramount was divided between them. Viacom got Paramount Pictures, while what was formerly Paramount Television (which includes Star Trek in all its various incarnations) eventually became the property of CBS. Paramount continues to make Star Trek movies, but only under license from CBS (Paramount pays CBS for the use of Star Trek). CBS is the ultimate owner of Trek and any new TV series is theirs
to say, not Paramount or anyone else.
The current relationship between CBS and Viacom is like a separated couple that underwent a very messy divorce. CBS got full custody of Star Trek and Paramount got visiting rights. They don't really get along that well, otherwise as feuding and infighting was among the reasons why CBS and Viacom were separated.