Mostly yes, outside the conservation areas. Only a handful of buildings are listed. Three conservation areas cover the historic parts of the village. The neighbours apply for planning permission all the time. The rules here are light, but the paperwork still takes time.
Bagshot has 11 listed buildings. None is Grade I, one is Grade II* and ten are Grade II. Listing covers the whole building, inside and out, so almost any change to one, from windows to internal walls, needs listed building consent on top of any planning permission, and doing the work without it is a criminal offence rather than a paperwork slip. With 11 in a village of several thousand homes, the odds of buying one by accident are low, and the survey will say so if you have.
The larger constraint is the three conservation areas: Bagshot Park, Bagshot Village and Bagshot, Church Road. A conservation area protects the look of a whole street rather than a single building, and inside one the council takes a closer interest in extensions, demolition, roof alterations and anything visible from the road. Some work that would go ahead without an application elsewhere needs one here. Buyers who fall for the character of the village streets are buying into exactly the rules that keep them looking that way.
The neighbours are not deterred. Between April 2024 and June 2026, 175 planning applications were made in the area, 82 of them in the last twelve months. That's steady evidence that people here do extend, convert and rebuild, and that the council's planning inbox is a normal part of village life. It says nothing about how many were approved, so treat it as proof of ambition, not proof of success.
In practice, most of Bagshot's post-war semis and detached houses sit outside the conservation areas and aren't listed, so the ordinary permitted development rules for rear extensions, loft conversions and outbuildings generally apply, subject to the usual limits and conditions. Inside a conservation area, or on a listed building, assume you need consent until the council tells you otherwise. Check the exact address against the conservation area maps before you make an offer, and before an architect draws anything expensive.
Your freedom to extend in Bagshot is middling: generous on the ordinary streets, tighter in the old heart of the village, and never as open as the planning application count makes it look.