Is this sequence in "Star Trek" (2009) a reference to a Hoth sequence from "The Empire Strikes Back"?

In the Kelvenverse timeline, which begins in Star Trek (2009), there is a sequence where alter-Spock attempts to rid himself and the Enterprise crew of alter-James T. Kirk, after getting off to a rocky start.

He deserts Kirk on a snowy planetoid where there is a Federation outpost called Delta-Vega outpost. But before he discovers this information from a prime Spock, he is chased by an alien baboon-like creature, in which then another comes (Hengrauggi Monster), attacks the first creature and then continues to go after Kirk until Spock Prime comes out of a cave with a torch lit.

This sequence however seems a little familiar reminding me of Luke Skywalker's sequences against a Wampa on Hoth in Star Wars: The Empire Strikes Back. There is also a similar sequence in The Phantom Menace where a fish species is after Qui-gon, Obi-wan, and Jar Jar in their underwater speeder, but another larger fish comes and eats the smaller one. Qui-gon comments, "There's always a bigger fish."

In addition Star Trek's following cave scene where Kirk gets knowledge and wisdom from the older Prime Spock is a similar concept to Luke getting knowledge from the wise and old Yoda, along with the cave on Dagobah, also featured in The Empire Strikes Back.

J. J. Abrams is also a well-known Star Wars fan, with references in almost every Bad Robot TV series, most notably LOST, while he has also now directed and co-wrote two Skywalker Saga films!

So my question is, are these sequences reference to Star Wars, mostly The Empire Strikes Back? Is there a source to back these potential allusions up?