Almost certainly yes. I ripped my sail about four years ago 1/3 of the way from the leach to the luff. Self stick repair tape was first affixed to each side of the tear. Then sewed with zig-zag stitches to make permanent. The repair has held fine through many days of +20 kts wind on San Francisco Bay.
Did you catch your sail on something during the jibe? Otherwise, unless the sail/ fabric/stitching are old/worn, I can't visualize why the sail ripped.