Yes, WICKER is a Scrabble word!

Letter values in Scrabble US: W 4, I 1, C 3, K 5, E 1, R 1.

Is it a valid word?

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

slender flexible branches or twigs (especially of willow or some canes); used for wickerwork
work made of interlaced slender branches (especially willow branches)