The 40-year-old Scot had been due to partner Ryder Cup team mate Lee Westwood and young English prospect Tommy Fleetwood in Thursday's opening round.
Gallacher finished tied fifth behind winner Rory McIlroy at the tour's flagship event last year.
He was fourth at Wentworth in 2010 but has also missed the cut at the tournament 11 times.
(Writing by Tony Jimenez; Editing by John O'Brien)
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