you can, and should, have a thermostat to drive the pump.
However (and I have only had a multifuel boiler once) you must have some radiators and/or a cylinder that are big enough to absorb and dissipate the heat from the boiler even if the pump is not running, so there must be no valves in the way that could ever be closed, even TRVs.
this is because solid fuel boilers cannot easily be turned off like gas or oil ones can, so it is possible for them to boil if the heat is not dissipated, which can be rather damaging. It is quite possible for a person to fill them with fuel and open the damper, then get called away, distracted or absent-mindedly leave the house and leave it roaring away, or maybe there will be a power cut or the pump will fail. Hopefully the boiler will have its own thermostatic control to throttle it back, but you still need a heat sink.
When I had one, I had a big hot-water cylinder that used to get thoroughly hot by the end of the evening. If it is well insulated it will stay hot for 24 hours or so.
you would do best to find a reliable solid-fuel boiler person in your area, the chimney-sweep will probably know one, but if you are in a rural area, your neighbours and the parish magaziner will also be a good source. They will be able to advise and know how to do the work safely.