The Republic says he did:

Vice President Joe Biden offered a strong endorsement of the federal stimulus in Phoenix on Monday and introduced some of the Arizonans personally touched by it.

He also met privately with Maricopa County Sheriff Joe Arpaio, although details of that meeting weren’t immediately available.

Sheriff Joe tweets the same:

Just got done meeting with the Vice President of the United States.

The PBJ, however, throws water on that scenario:

Vice President Joe Biden’s office has a different take on what Maricopa County Sheriff Joe Arpaio termed a “short meeting” Monday in Phoenix.
[…]
Arpaio said he had discussed the need for more deputies with Biden.

But Biden’s office said Arpaio was not invited to the event and did not have a meeting with the vice president. He simply shook hands with the vice president as Biden was exiting the building, according to Biden spokeswoman Annie Tomasini.