I don't know for certain, but I would think most likely NOT.
The width of the No 5 rifle flash hider and foresight base is narrower than the foresight protector width on a No 4. If it is a military style cramp which fits on from the front then I do not believe that it would go far enough over the No 4 protector wings to access the holes and get at the foresight blade.
If you are dealing with Britishmilitary type adjusters ("cramps") be aware that it is the "No 4 cramp" which fits the No 5 rifle, whilst the "No 5 cramp" is made to fit the Sterling SMG.
I found this out the hard way by winning an e-bay auction... have now got the adjuster - problem is getting hold of a Sterling to try it out!
The modern adjusters which are available from US sources on ebay for the No 5 rifle will not work on the No 4; I have one and just tried it. No go at all.
Check out webpage at Fore Sight Adjusting Cramps to see pictures of the various types of cramps.