If the cooler is properly sitted on the CPU, then yes, cause after 7 years of use, the fan can wear out and it may need a replacement.
But I will start with a good cleaning first, you could also try and add some non-conductive lubricant to the fan motor, and spin it with your hand, gently, to take off all the dust and hair that may be in it. After that add some more lubricant and try it out.
Once again, please if your not sure what your doing, ask someone with expertise to help you out, and always turn off your PC and unplugged it from the power wall socket. Never do anything inside your case without removing the power cable from the wall !!!