Yes, GRATE is a Scrabble word!

Letter values in Scrabble US: G 2, R 1, A 1, T 1, E 1.

Is it a valid word?

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

a frame of iron bars to hold a fire
a harsh rasping sound made by scraping something
a barrier that has parallel or crossed bars blocking a passage but admitting air

furnish with a grate
gnaw into; make resentful or angry
reduce to small shreds or pulverize by rubbing against a rough or sharp perforated surface
make a grating or grinding sound by rubbing together
scratch repeatedly

GRATE was the Wordle answer on Sept. 24, 2022 (#462). Stuck on today’s? Use the Wordle helper.

Also: eat into.