Yes, and North Baddesley is one of the easier villages in Hampshire to do it in. The entire place holds a single listed building. There is no conservation area drawn around the village. There is no scheduled monument sitting under anyone's back garden. If the thing that usually kills your plans is a wall of heritage protection, this village has quietly removed most of the obstacle before you have even bought the house.
The heritage picture is about as light as it gets. That one listed building carries the lowest of the listing grades, the everyday grade II that covers the bulk of protected buildings in the country. Listing binds that specific property and its immediate setting, which means whoever owns it cannot change it inside or out without formal consent, and even routine work gets the full heritage treatment. For the roughly three thousand other homes in North Baddesley, none of that applies. The odds that the house you are looking at is the one protected building in the village are vanishingly small, and unless you are buying that exact address, the listing simply isn't your problem.
In practical terms, this is what most buyers actually want to hear. With no conservation area stripping back the usual permitted-development rights, an ordinary house here keeps the standard freedoms that come with a normal home. A good deal of everyday work, the sort of extension and alteration people reach for first, can often proceed without a full application, and the larger schemes go through the normal planning route rather than a heritage-hardened one. The village is plainly used to this. Something like 89 planning applications went through in the last year alone, which tells you the system here is busy, familiar and moving rather than a fortress that says no on principle. None of that removes the need to check your own specific plot and confirm what rights attach to it before you draw up a single plan, because the detail always lives at the address level. It does mean the starting position is generous rather than hostile.
The blunt verdict is that North Baddesley scores top marks for the freedom to shape your own home. One listed building, no conservation area, no monument, and a planning system that is used to saying yes to sensible work. If extending is part of the plan, this is a green light, and one of the strongest things the village has going for it.