OUT! Out I say!
I’m not much of a Star Trek fan but even if these two ships existed, think of it this way…
Star Trek is set in the FUTURE.
Star Wars is set “A long time ago in a galaxy far far away…”
Given this time difference, distance and the fact that many of the physical aspects of Space and Time do not hold true for either periods (ie where is the gravity coming from, why do particals slow down after they blow up etc) I can’t see there being much chance of the two ever meeting.
But we can only hope! 