It's still early to speculate, but lucky for us, Tarantino has actually discussed his vision for a potential Star Trek movie before. If it gets the green light, Tarantino will direct and Abrams will produce. It recently snagged a release date of 19 August, 2019.
But Tarantino has worked on projects associated with existing franchises in the past, though that's been limited to television.
Tackling a intellectual property like Star Trek would be a marked shift for Tarantino. What's more - Tarantino might even direct. You could take some of the great classic Star Trek episodes and just easily expand them to 90 minutes or more and really do some unbelievable, fantastic stuff.
The director told Nerdist that, given the choice, he would prefer to direct a Star Trek film over Star Wars. And Paramount already expressed a desire for a fourth Chris Pine-led Trek installment to follow up the ehhh that was last year's Star Trek Beyond.
Making things even more uncertain for another Star Trek film, Paramount recently announced that they have ended their financing deal with China's Huahua Media, a deal meant to finance a quarter of the films that Paramount produced over the next three years.
Tarantino is known for creating his own original stories such as Kill Bill, Pulp Fiction, Reservoir Dogs, The Hateful Eight, and more.
He has never taken the reins on a franchise, though he did once direct an episode of ER and a couple of episodes of CSI.