There are four things that strongly lead me to think so
#1: Kirk's motorcycle
Yes, it's an actual MOTORCYLE. Not, it seems to me, an alien contraption made up to look like one. Since it's unlikely that Kirk packed such a thing on the Enterprise with him, let alone managed to pack one on the escape pod when he abandoned ship, he probably got it from Earth -- or some alternate version of it -- some time in the 2010s.
#2: The beginning of the trailer. "Is that music?" This strikes me as another thing Kirk probably wouldn't have brought with him on the Enterprise -- or have a reason to be playing right now -- just for the hell of it, so the song is probably playing on the
radio. The ship/room/bunker they're in when he says this has the look of being cobbled together from spare parts, so I'm guessing it's probably a time pod or something (build from salvaged parts of the Enterprise and an alien time engine they captured using their alien friend's help).
#3: The city with the voiceover "This is where it begins" is pretty definitely an EARTH city, and it's being attacked by the same flying things that were threatening McCoy and Spock. There's also the later line "This is where the frontier pushes back" strongly implying that somebody out there is trying to undo Federation expansion into their region of space (or expansion in general). The only real way to do that is retroactively, hence time travel.
#4: Some of the fight scenes with the Big Bad (Idris Elba?) take place on the Enterprise WHILE IT'S BEING DESTROYED. That suggests either the destruction of the Enterprise takes place relatively late in the movie (which is very unlikely since this entire trailer would be a ridiculous spoiler) or Kirk and Crew managed to time travel back to the moment the Enterprise was destroyed in order to prevent the ship's destruction, only to be intercepted by the bad guy in the middle of the rescue attempt and having to fight off him AND his badguy swarm at the same time.
Also: the total destruction of the Enterprise almost always results in some kind of time travel adventure. That's, like, a rule or something.
I could be wrong, of course... just placing my bets
