Yes, shoot is playable
...and is worth 7 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Shoot" Definition
noun
A bud, young leaf, or other new growth on a plant.
A narrow, swift, or turbulent section of a stream.
A round of shots in a contest with firearms.
A session in which something is photographed, filmed, or videotaped.
idiom
Breeze Slang To spend time talking; talk idly.
Mouth Slang To brag; boast.
Mouth Slang To speak indiscreetly.
Shoot from the hip Slang To act or speak on a matter without forethought.
Shoot straight To talk or deal honestly.
phrasal-verb
For Informal To strive or aim for; have as a goal.
Shoot down Informal To ruin the aspirations of; disappoint.
Shoot down To bring down (an aircraft, for example) by hitting and damaging with gunfire or a missile.
Shoot down To expose as false; discredit: shot down his theory.
Shoot down To put an end to; defeat: shot down the proposal.
verb-intransitive
Slang To begin talking. Often used in the imperative: I know you have something to tell me, so shoot!.
Sports & Games To propel a ball or other object toward the goal or in a specific direction or manner.
To appear suddenly: The sun shot through a break in the clouds.
To be felt moving or as if moving in the body: Pain shot through my lower leg.
verb-transitive
Informal To spend, use up, or waste: They shot their savings on a new boat.
Slang To give, send, or hand quickly: Shoot me that stapler.
Sports & Games To accomplish (the objective) of a game involving a projectile; score (a point, basket, or goal).
Sports & Games To attain (a given score) in golf.
Sports & Games To play (a game involving dice, especially craps).