I'm going to go with no. Once Upon a Time is an alternate retelling of fairy tales, without altering their canon. The 'canon' Disney story of Snow White has not been changed by this series, nor has Mulan, Peter Pan, or any of the rest. This is an alternate take on every other fairy tale, I don't see why this should be an exception.
As further evidence, in an interview with Variety magazine, the following exchange took place.
Variety: Unlike most of your characters, “Frozen” is an ongoing
property — are you guys tying anything in with Disney’s wider plan for
the characters? Is there anything you’re introducing that could be
carried over to other iterations?
Kitsis: Nothing we’re doing is canon into the “Frozen” franchise. As
Adam said, we’re not doing the sequel. This is us taking Elsa and Anna
and Kristoff and just a few of the characters, and they’re coming into
our world, and so we’re much more interested in crosses like Anna when
she meets Rumplestiltskin and things like that. But all the things
that are on our show are not canon.
Horowitz: It’s kind of like how we’ve dealt with all of our
characters. The original “Snow White” movie still exists. The original
“Cinderella” still exists. We sort of like to think of “Once Upon a
Time” as a Disney cul de sac, where you can come in, you can play with
these characters, you can see them in new fun ways, and then when
you’re done, you can leave and go back and they’re right where they