Very doubtful

First of all, there is no explicit public comment by any of the Into Darkness staff that connects this scene to Voyager.

More generally, director J.J. Abrams has said on a number of occasions that he is categorically not a Star Trek fan (although I'm sure he is a fan of his own work), and so his prior knowledge of scenes such as this would be limited. On the other hand, writers Bob Orci and Alex Kurtzman are Star Trek fans, but of The Original Series almost exclusively. In particular, they have not commented about any inspiration from the later series. Finally, none of the production staff for Into Darkness overlap with Voyager's staff.

It is hard to prove a negative, but combining all of this with the fact that Abramsverse Star Trek has distanced itself from Rick Berman-era Star Trek, and given that Paramount has seen Voyager and Enterprise as the nails in the coffin of that era, I suspect that any similarity with that Voyager scene is pure coincidence.