No.

Though around 450,000 residents have been disqualified from jury duty because of their citizenship status over prior one-year periods, according to California officials, there is no evidence that the individuals were all registered voters. State officials have repeatedly refuted the claim that the noncitizen residents were registered to vote.
California pulls from multiple sources to select residents for jury duty, not just voter registration databases. The state also relies on lists of residents who pay taxes or hold a driver’s license or other state identification, neither of which require U.S. citizenship.
All states and the federal government require jurors to be United States citizens. Only U.S. citizens are eligible to vote in federal elections and most state and local elections.
This fact brief is responsive to conversations such as this one.
The Arizona Center for Investigative Reporting partners with Gigafact to produce fact briefs, or quick-response fact checks, about trending claims relating to Arizona.