Yes, There Is a Freemason Handshake. Several, Actually

Freemasons greet one another with a variety of handshakes, all based on one’s rank within the organization. “There is a handshake for each degree: Apprentice, Fellowcraft, and Master, i.e., the first three degrees and also in the higher degrees,” says Révauger. “Each rite has its own handshakes, so there is quite a variety. They are used during Masonic ceremonies.”