Was this helo landed I would ask also?
But jokes aside, the answer is yes, can be resupplied.
Must be landed and if there are any other units resupplying from this carrier, pace of restocking ammo will be slower than 1 full no movement turn.
But in this case you can expect also that some of these units will get restocked partially during a turn. Said Kasatka helo, may get his 1 AP round but not HE, which means it's ready to blast some armor again
And btw, even lifting a helo above ammo storage and then landing it in the same turn breaks the sequence - next turn will be checked as "no movement".