What do people really mean when they begin a statement with "Of course . . .?"
I believe you are asking "can I set my home up to use European-style electric?" I believe it is possible, perhaps not as easy as it sounds, and requires some skills most electricians lack.
My first issue is "what do you mean 240?" "American" 240 uses two "hot" wires, each measuring 120 to ground and out of time with each other, so the voltage between the two is 240. There often is no neutral. If you're not clear on the difference between a neutral and a ground, STOP right here and don't try this at home.
As I understand it -- euro sparkies chime in if I'm wrong -- European 240 has a single "hot" wire and a neutral. A completely different arrangement.
The difference matters. Appliances will have different internal wiring, and bad things can happen if you apply line voltage directly to a neutral.
So, your first step is to use a transformer to "create" the right sort of 240.
The next issue is frequency. Europe uses 50 hertz, while we use 60 hertz. This means European motors will want to spin faster. You might even discover satanic lyrics when you play Beatles albums on your old record player

. About the only way to have euro-style 240 is to generate it yourself.
Yes, you could build a house with both systems. The two systems would have to be completely separate (no shared panels), and I would expect you to use euro-style plugs. Your inspector might be confused by the Euro wire color codes.