It depends on the width of the carpet.... I've never come across a carpet that isn't over 12" wide, so on that basis, yes. A sq yd is 36" by 36" so should have plenty spare with a sq yd.
There are 9 square feet in a square yard, so you have 6300 square feet of carpet. Each carpet square is 9 square feet (3 x 3 = 9)... So you would need 700 36" tile squares.
5,184 2-square-inch tiles are needed.
440 6-inch square tiles.
1/144 of square foot
297 16x16-inch tiles.
288 6-inch tiles are needed.
18 10x10-inch tiles.
125 16-inch tiles.
236 18-inch tiles.
A square foot will cover a square foot, regardless of the depth of the material the cover is made of.
A 3 inch wide carpet.
It depends on whether it is a 15 yard x 15 yard carpet of a 15 inch x 15 inch piece (eg carpet tile), or in metric units, or some non-standard measure.