Depends on what your town and state laws are. Personally I feel like its every persons right to do what they want on their property, but there are many places that don't agree with that. You also risk parts getting stolen off if you do it right in front of your house, especially if its an older car, which I assume it is if its being taken apart as such. Talk to your neighbors first, see if they think its a good idea.
yea it's your property, do what you want!
Yeah, you can do it on your property.