Sure he can. In an ideal world (from the US gov't's perspective), all communications everywhere would be encrypted, and only they'd have the workarounds to access the data anyway.
I'm not being sarcastic. For real, what major government wouldn't want that in their favor?
They care about maybe a maximum of five having that access, and I'm sure they realize that #1 on that list (PRC) won't need much time to become a peer on any given technology.