Probably... if the burger were not too big.
For good results, use at least 1.5-2x the amount of weed you would smoke usually.
Take your weed and microwave it for some 20-30 seconds. It will make it dry and will increase its potency. Its needed to do it when you eat weed.
After it, grind the weed as best as you can. Try to make the weed become a fine powder. Then sprinkle this powder in the cheese. If there were two (or more) slices of cheese, put the weed between them.
Then, heat the sandwich until the cheese melts, and its ready.
For best results, eat this sandwich with an empty stomach, and dont eat anything after it, cause eating weed works only on empty stomach.
And good luck! :thumbsup:

PS. Now i did re-read your post and im not sure if this castle burgers have cheese in it... if not, i think you should add some, as weed is only soluble in fatty things... dont know if putting weed in the meat of a hamburger would work...