While I don't know if it's legal to keep them as pets, it is illegal in most places to take animals out of the wild without a collection permit. Personally, I'm an advocate for keeping captive-bred reptiles and amphibians because they're typically healthier and take better to captivity than their wild-caught counterparts.
Edit: I just did a search on these guys and it looks like they're a protected species. Here's the link to the paper - http://www.dfw.state.or.us/species/amphibians/docs/LWW_Pacific_Treefrog_final.pdf
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