Earlier, the 22-year-old Indian had made the cut at the Open Championships last month.
Sharma's senior colleague Anirban Lahiri had another miserable day on the greens as he missed a bunch of makeable putts and went through a horrible streak of four bogeys in five holes on the back nine to card three-over 73.
Tiger Woods birdied three of his first five holes and was at three-under through his first seven holes. Woods is now three-under for the tournament.
Sharma missed three putts between 14-16 feet and one under seven feet, but got all pars while he birdied seventh.
Lahiri missed no less than four putts inside 10 feet. Still he was one-under when he came off the 11th green. But from there he bogeyed four times between 12th and 16th and that's where he lost the chance to stay on for the weekend.
He had a chance to break the record but watched his 20-foot birdie putt slide by on his last hole, the par-4 9th. He's at eight-under, just two back.
When the horn blew for a weather delay at 3:35 pm, Woods had hit his drive 321 yards into the primary rough at the par-5 eighth hole.
FedExCup No. 2 Justin Thomas, playing in the same group as Woods, was one-under for the round and two-under overall through seven. Rory McIlroy, the third member of the group, was even for the day and even for the tournament, just inside the projected cut line.
Charl Schwartzel, who also shot 63, and FedExCup and world No. 1 Dustin Johnson (66) were among four players at 7 under, three back. The quartet included first-round leader Rickie Fowler, who was 2 under for his first 10 holes when the horn blew for the delay.
The current projected cut line is even par. Those at one-over or worse, who could miss the cut, include Masters champion Patrick Reed (72-71), Phil Mickelson (even through eight holes of the second round, 3 over total) and Matt Kuchar (71-70).
Although the morning wave had completed the second round, the afternoon wave was not so lucky, as players were called off the course with as many as 14 holes remaining when a thunderstorm blew through St. Louis.
They will resume play at 7 a.m. local time today, and the third round will begin approximately 30 minutes after the conclusion of round two, with threesomes going off the first and 10th tees.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)