Yes, and this is one of the strongest arguments for radiant heating in historic churches. Wall or ceiling-mounted infrared heaters need only a few fixing points, and cables can be routed through existing conduit runs or along discreet routes agreed with the DAC. There is no underfloor pipework, no trenching through medieval floors, and no radiator brackets screwed into listed stonework.
The bigger risk to historic fabric often comes from the heating method itself, not the installation. Convection systems circulate hot, dry air that can crack oak pews, dry out lime plaster, and accelerate decay in painted surfaces. Infrared heaters warm people and surfaces gently without dramatically changing the air temperature or humidity, which is kinder to the building over the long term.
Your DAC will want to see that fixing points avoid areas of architectural significance, that cabling is reversible where possible, and that the visual impact is minimal. A good installer who has worked in listed churches before will know how to present this in a way that satisfies the committee. Ask for photographs of previous church installations when choosing your contractor.