Yes, at least approximately constant. That would be called a low temperature coefficient material.
Materials in which resistance increases with temperature are referred to as having a positive temperature coefficient. Most metals are in this category.
Materials in which resistance decreases with temperature are referred to as having a negative temperature coefficient. Most semiconductors are in this category.
In most metals, the resistance goes up with temperature. In semiconductors, the resistance actually decreases as temperature rises. I think resistivity will always change depending on temperature. But for some materials the change might be relatively small.
Actually Manganin is an alloy, which has a coefficient of resistivity of .000002. This is used for resistors because its change in resistivity due to temperature is very close to 0.