Yes, HOUSING is a Scrabble word!

Letter values in Scrabble US: H 4, O 1, U 1, S 1, I 1, N 1, G 2.

Is it a valid word?

HOUSING is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

structures collectively in which people are housed
a protective cover designed to contain or support a mechanical component
stable gear consisting of a decorated covering for a horse, especially (formerly) for a warhorse

Also: living accommodations, put up.