In short yes! The amount is probably quite restricted though unless you have other income. I am talking here about individuals by the way. Companies have a whole different rule set.
Generally pensions payments can only be made if you have “earned” income. That is loosely defined as income from employment, self employment or from a partnership (not joint investment income like rentals is almost never partnership).
What if you only have rental income then? Can you pay in to a pension? Yes. Anyone can still pay a maximum of £3,600 in to a pension even without earned income. It’s worth noting that this is the gross amount so the net contribution only costs £2,880.
Now this is never going to give you a multi million pound pension pot but if started early enough will give a nice little alternative. Pensions payments also have the added benefit of extending your tax bands meaning that you can make that little bit more before hitting higher rates.
Always seek advice from a Chartered Financial Planner before considering pensions.