Put simply, yes, air source heat pumps can work with home radiators.
The radiators will need to be appropriately sized in accordance with the flow temperatures your heat pump will be set to.
Your air source heat pump will perform more efficiently the lower this point is set at, and be less expensive to run as a result.
Find out everything you need to know about air source heat pumps in our Ultimate Guide to Air Source Heat Pumps or pay a visit to our guide to discover how well your existing radiators will work with a heat pump. Alternatively, you can view air source heat pump advice from the Energy Saving Trust.