Is seeing crows circling in the sky related to the weather?

Yes.

The crows are hovering in the sky, maybe because the weather is getting colder, and the crows are flying to find a warm place. They hover in groups to tell people that the weather is about to change.

Crow: It is the common name for several black birds in the Corvidae and Corvidae genus. Also called Lao Yu, it has a big mouth and likes to sing. It is the largest bird among the passerines, with a body length of about 50 cm. The whole body or most of the feathers are jet black, hence the name. The feathers are mostly black or black and white, with long beaks, and some have distinctive white collars. The black feathers have a purple-blue metallic luster; the wings are much longer than the tail; the beak, legs and feet are pure black. The distance between the nostrils and the forehead is about 1/3 of the length of the mouth, and the nose whiskers are straight and reach the middle of the mouth.