Well not exactly. Snowden was extremely vocal about NSA going around encryption and stealing keys from the endpoints. I've collected those statements here: https://www.youtube.com/watch?v=3euYBPlX9LM
PGP uses RSA which means it's not forward secret. That means, when the agencies hack endpoints to steal PGP keys, they can use them to retrospectively decrypt all PGP-encrypted emails that user has received from their contacts, even if the user has deleted the original message long since.
So no, NSA can't break RSA (assuming it's at least 2048 bits) or AES, but they can bypass the encryption by hacking endpoints. PGP's algorithms are not weak, the key management is extremely weak.
PGP uses RSA which means it's not forward secret. That means, when the agencies hack endpoints to steal PGP keys, they can use them to retrospectively decrypt all PGP-encrypted emails that user has received from their contacts, even if the user has deleted the original message long since.
So no, NSA can't break RSA (assuming it's at least 2048 bits) or AES, but they can bypass the encryption by hacking endpoints. PGP's algorithms are not weak, the key management is extremely weak.