Should I add something to prevent kickback on this LED circuit?
Should I add something to prevent kickback on this LED circuit?


No. 

There shouldn't be any "kickback" in that circuit.



The power supply looks like a Mean Well S-350-27 which puts out 27V at up to 13A.

As Pete suggests in a comment, the cause of 'an occasional "pop" of the LED' is likely to be that the Mean Well LDD-1000H constant-current LED driver (1000 mA output) exceeds the current rating of the LED module whose maker name and part number you are keeping a secret ;-)

As I understand it, a constant current driver like the LDD-1000H will increase Vout from 2 up to 52V until the current is approximately 1000 mA. If the LED module is rated 45V max (for example) but draws less than 1000mA, I would expect there will be a problem.