Anything with a gravitational force strong enough or close enough to reach Earth would effect the tides. Since this asteroid is so far away and quite smaller than the moon I would say in this case no. But if a really dense one came by or one came really really close to the Earth (less than the distance to the moon) then it might have an affect for the few moments when the Earth came within its gravitational field.

From what I understand the gravity of an object would have more effect on the weather then it would on the water, it's easier to pull storm systems around then tons of water. Again, I don't think this particular asteriod is close enough to bother us even in that way.