Is it possible to break PGP encryption and is it secure?

To the best of publicly available information, there is no known method which will allow a person or group to break PGP encryption by cryptographic or computational means. Cryptographer Bruce Schneier characterized an early version as being "the closest you're likely to get to military-grade encryption."

Although PGP/GPG encryption using either RSA or DSA keypairs is very secure, you must take some extra measures to ensure that sensitive data remains secure. Once you have decrypted an email message, it is recommended to delete the message both from your local computer's hard drive as well as from the remote mail server you downloaded the message from. If you need a copy of the information contained in an email you should print out a hard copy and store it in a safe place with restricted access.