No — the Moon is slowly drifting away, and in roughly 600 million years it will be too far to cover the Sun
Total eclipses happen because the Sun is about 400 times larger than the Moon and also about 400 times farther away, so the two look nearly the same size. But the Moon recedes a few centimeters a year. Once it drifts far enough, only annular eclipses — with a ring of sunlight left showing — will remain.