In theory, but it probably wouldn't be worth it.
In reality, the wind will not be constantly blowing. You'll have peaks of wind and calm. Because of this, you'll need to store the energy somehow. This can be done with batteries, flywheels, or gravity-water systems (forget the real name). This will be expensive and inefficient. It will also require a second round of converting from DC-AC, which will involve more loss.
You can use a wind turbine to supplement your energy from the grid (although solar panels are almost always a better choice for residential use), or, better yet, you could just reach a deal with the power company and sell your energy to the grid.
So, yes, technically, it certainly can be done, but it is not economically or logistically feasible.