Question

Does the stars temperture appear to depend on the distance from earth's?

Answer 1

A stars temperature is based off of the sun, but it's brightness level varies to us depending on distance from the earth.

Answer 2

And as its brightness varies, the amount of energy it gives to the earth also varies.
I'm not sure if you are asking whether the temperature of the star depends on its distance from the earth or the amount of heat that it gives to the earth depends on its distance from the earth.
If it's the first one, the answer is no; if it's the second one, the answer is yes.