Green Goblin is difficult boss for speedrun. Yes, defeat him for 4 cycles is possible, but need lucky moment, if you want inflict heavy damage on him.

First: Goblin must be neardly walls, for 2 bonus hits (kick ->punch) Second: You must make right combo. You need perform this 5-hit combo: punch -> kick -> punch -> kick -> punch. After this combo you need jump off the wall and perform those hits: KICK -> PUNCH (punch -> punch, kick -> kick or punch -> kick is weak combos) And Goblin begins to get up. During this moment you need perform this combo: punch -> kick -> punch -> kick -> punch. Everything else depends on luck.

On this video you can see successful fight against Green Goblin for 4 cycles.