100% Spock and other similar characters were a big influence on the popularity of Half-Elves and the like.
It does mean it inherently can't in 5E, because a background controls what three stats you're allowed to put your starting +2/+1 or +1/+1/+1 into, and if someone has assigned "Between two worlds" WIS, CHA, and CON, say, you're pretty much stuffed if you want to play a martial character and not be actually noticeably sub-optimal (+1 is absolutely noticeable, from my experience with 5E, esp. when it applies to both attack AND damage - it comes out to significantly more than 5% in real terms).
If you gave it a unique "Choose any three stats" though (which, frankly, all background should have, but w/e), then sure it's fine.