Yes, pick is playable
...and is worth 14 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Pick" Definition
noun
A long-toothed comb, usually designed for use on curly hair.
A passage or throw of the shuttle in a loom.
A pointed projection on the front of the blade of a figure skate.
A tool for breaking hard surfaces, consisting of a curved bar sharpened at both ends and fitted to a long handle.
A weft thread in weaving.
verb-transitive
Music To play (a tune) in this manner: picked a melody out on the guitar.
Music To play (an instrument) by plucking its strings.
To break up, separate, or detach by means of a sharp pointed instrument.
To gather in; harvest: They were picking cotton.
idiom
Pick (someone) to pieces To criticize sharply.
Pick and choose To select with great care.
Pick holes in To seek and discover flaws or a flaw in: picked holes in the argument.
Pick up on Informal To take into the mind and understand, typically with speed: is quick to pick up on new computer skills.
phrasal-verb
Pick apart To refute or find flaws in by close examination: The lawyer picked the testimony apart.
Pick at To eat sparingly or without appetite: The child just picked at the food.
Pick at To pluck or pull at, especially with the fingers.
Pick off Baseball To catch (a base runner) off base and put out with a quick throw, as from the pitcher or catcher, often to a specified base.
Pick off Sports To intercept, as a football pass.
verb-intransitive
To be harvested or gathered: The ripe apples picked easily.
To decide with care or forethought.
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