Yes, quite often does the airport operator restrict the use of reverse above idle. For LHR my documentation reads:
NOISE ABATEMENT PROCEDURES
The following procedures may at any time be departed from to the extent necessary for avoiding immediate danger or for complying with ATC instructions.
...
REVERSE THRUST
Avoid use of reverse thrust between 2330-0600 LT except for safety reasons.
FD (the un-real)