According to the Roman Catholic Church's documentation, it is true, although the reality was slightly different than the story as told on the Wikipedia page.

When John XXII died on December 4, 1334, the cardinals were in conclave, and were largely in opposition to returning to Rome. The most likely candidate was cardinal Jean-Raymond de Comminges, and enough cardinals supported his papacy that it was all be assured, on the condition that he remain at Avignon. When de Comminges refused, the cardinals cast the first ballot in an effort to canvass for a secondary candidate.

It was common for the papabile to cast votes for who they assumed was the least likely candidate in order to see who other cardinals were in support of. This particular instance led to the accidental election of Jacques Fournier when he received the vote of literally every cardinal in the conclave other than himself.

On January 8, 1335, he was enthroned as Benedict XII.

Ironically, one of his first moves as pope was to call for a return to Rome, going so far as to provide funding for the restoration of St. Peter's Basilica and the Lateran. However, he shortly thereafter fell dangerously ill, and gave in to the urging of the cardinals, leaving the seat of the Roman Catholic church in Avignon.