Is it anything in NEC that makes it wrong if you wire an entire house with 240 only.

Of course you may only use approved components and US standard 240V outlets.

I do not believe it is good solution but will it be OK to NEC?

As grown up in Europe, 240 is often convenient for me. Should I build a house in North America I would probably had both 120 and 240 ind all rooms if it is OK in NEC (Would that be OK?)