Yes, for most houses in Bray. No conservation area covers the village. Only a couple of dozen buildings are listed. The wider area handles planning applications by the thousand. The clay under the village needs deeper foundations. In Bray the planning rules are fairly relaxed, and the bigger problems with an extension are the river and the clay.
Bray has 26 listed buildings: one Grade I, two Grade II* and 23 Grade II. Listing covers the whole building, inside and out, so changing a listed house needs listed building consent on top of any planning permission, and the council's conservation officer will want a say. That affects 26 buildings out of a village of several hundred homes. Historic England's National Heritage List can be searched by address, and it takes about five minutes to confirm the house you want is on it or not. Bray was written down as Brai in the Domesday Book of 1086, and almost none of that history affects what you can do with a 1960s detached house.
There is no conservation area inside the village boundary and no scheduled monument either, so the extra controls that come with those designations don't apply. Most houses here are judged on the ordinary rules.
Planning records for the wider area around Bray show 3,607 applications between April 2024 and June 2026, and 1,638 of them in the latest twelve months. Those numbers cover the wider area, not just the village, and they count applications, not approvals. They still show that altering houses is a constant activity round here. People apply to extend all the time, and the scaffolding on the lane is usually somebody's planning application being built.
The British Geological Survey puts every Bray postcode in class 3 for shrink-swell clay. That is a moderate rating on its scale, where clay soils swell when wet and shrink when dry. For an extension, it mostly means foundations may need to go deeper than the minimum, particularly near trees. A structural engineer and building control will set the depth. The same survey rates landslides, soluble rocks, collapsible ground, compressible ground and running sand at the lowest class across the village.
In practice, most houses in Bray that aren't listed can use national permitted development rights for modest work, and larger schemes go through an ordinary planning application. Listed houses need consent for almost anything. One thing applies to every house in Bray. Every postcode sits in a river flood zone, so expect flood risk to be part of any application that adds floor space. That comes from the flood maps, not from heritage rules, and it can shape the design more than any listing will.
You have a good deal of freedom to extend in Bray. Unless the house is listed, the main things limiting your plans will be the clay and the flood zone.