Yes, pensioners can claim Housing Benefit if they meet certain criteria. Generally, you must be of pension age, live in the property you are claiming for, and have a low income or limited savings. The amount you receive can depend on your income, savings, and rental costs. It's important to apply through your local council, as they assess claims based on individual circumstances. For more detailed information, you may also want to visit the official gov.uk page on Housing Benefit.