Yes. "Jimmy" can be a nickname for the name "James" or even a name on it's own.
Jimmy Eriksson's birth name is Jimmy Eriksson.
Jimmy Gaines's birth name is Jimmy Ray Gaines.
Jimmy Brandt's birth name is Jimmy Gunnar Brandt.
Jimmy Mirikitani's birth name is Jimmy Tsutomu Mirikitani.
Jimmy Gulzar's birth name is Jimmy Bryan Gulzar.
Jimmy Golden's birth name is Jimmy W Golden.
Jimmy Wales's birth name is Jimmy Donal Wales.
Jimmy Kelley's birth name is Jimmy Jackson Kelley.
Jimmy Wakely's birth name is Jimmy Clarence Wakely.
Jimmy Uller's birth name is Jimmy Peter Emanuel Uller.
Jimmy Jansson's birth name is Erik Robert Jimmy Jansson.
Jimmy Pethrus's birth name is Jimmy Erik Enhamre Pethrus.