The most common and most likely answer to this crossword clue is the 10 letter word PROJECTILE
I've seen this crossword clue in The Daily Telegraph
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Buddy explains!

The straight part
We know that "shot, possibly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case shot, possibly = projectile.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PROJECTILE mean?
PROJECTILE noun- An object intended to be or having been fired from a weapon.
- Any object propelled through space by the application of a force.
- Projecting or impelling forward.
- Caused or imparted by impulse or projection; impelled forward.