Pilgrim craft might produce blossom (9)
I believe the answer is:
mayflower
'pilgrim craft' is the definition.
'mayflower' can be an answer for 'craft' (I have seen 'traditional craft' mean 'mayflower' so perhaps 'craft' could also mean 'mayflower'). I am not sure about the 'pilgrim' bit.
'might produce blossom' is the wordplay.
'might' becomes 'may' (I've seen this in another clue).
'produce blossom' becomes 'flower' (I can't explain this - if you can you should give a lot more credence to this answer).
'may'+'flower'='MAYFLOWER'
Can you help me to learn more?
(Other definitions for mayflower that I've seen before include "Famous Pilgrim ship" , "Pilgrims' vessel" , "old ship" , "transatlantic ship" , "Famous vessel" .)