Yes. Sources say that he was swept off twice.
An excerpt from NBA.com's The Road to the Top reads:
A prime example was Game 2 of the 1986 playoffs, Jordan's second season in the NBA. Chicago had squeaked into the postseason field with a 30-52 record after a bizarre year in which Jordan broke his foot in the third game of the season, sat out 64 games, then returned to action following a public squabble with management, whose preference was that he sit out the remainder of the season and not risk further damage to the foot. But sitting on the sidelines was torture for the ultra-competitive Jordan, so even though doctors said he was jeopardizing his career, he insisted on playing the final 15 games of the season and his presence was enough to get Chicago into the playoff field.
Although the Bulls were swept in the first round by the eventual champion Boston Celtics, the second game of that series firmly established Jordan's place in the NBA firmament. Playing before a national television audience on the hallowed parquet of Boston Garden, Jordan scored a playoff-record 63 points as the Bulls extended the Celtics into double overtime before bowing 135-131. Boston's Larry Bird, the league MVP that season, was left shaking his head in amazement. "I didn't think anyone was capable of doing what Michael did to us," he said. "He is the most exciting, awesome player in the game today. I think it's just God disguised as Michael Jordan."
Of interest, check out Michael Jordan's Top 10 Best and Worst NBA Finals Appearances from BleacherReport.com.