Temperature coefficient of a resistor
I would say no.  

The effects of temperature coefficient can be expressed as 
$$ R= R_0 \left[1 + \alpha\left(T_0-T_{\text{ref}}\right) \right]$$

So, only the  change in resistance (not the resistance) will be proportional to the temperature difference, and that holds best for small temp changes about a working point.

To be even more specific,
$$ R=\frac{\rho \ell}{A}$$

for objects with constant cross sectional area, where \$\rho\$ is resistivity, \$\ell\$ is length, and \$A\$ is cross sectional area.

Now, temperature will change the dimensions, and it will also change \$\rho\$.  From https://physics.info/electric-resistance/


  The general rule is resistivity increases with increasing temperature
  in conductors and decreases with increasing temperature in insulators.
  Unfortunately there is no simple mathematical function to describe
  these relationships.


Thus, we tend to use the linear approximation for small temp changes, but work around a reference temp, as in the first equation presented.