Found an internet connection to check. It's not allowed, but your reasoning is wrong: each state decides whether to accept another state's permits. E.g., my PA permit lets me carry in VA and MI, among other places, but not DE or NV.
(To deusnoctum)
Good point... i was just going on logic... which doesn't always work with state laws haha... so i'll give my self thumbs up for being half right