Can I defeat King Bulbin without arrows in Twilight Princess?

I'm fighting King Bulbin for the second time in the game over the bridge.
I had two arrows and didn't notice this until I'd got there, and I missed him the first time round so I can't kill him as far as I know. Somebody please help, I already rage quitted from the scene where I have to get the carriage across Hyrule field because it was SO HARD and I kept failing, so eventually I quit and next time I logged on it had brought me back to before I'd even fought the king.
So now I have to fight him AGAIN and I have no arrows.

SOMEONE HELP. THIS IS GENUINELY THE MOST FRUSTRATING PART OF ANY GAME I HAVE EVER PLAYED.

Nightangelwolf2014-01-04T15:06:42Z

Favorite Answer

Hmm, arrows are the most effective against him in the second fight; other weaknesses include bombs, hidden skills and the ball and chain, but since you're on horseback for the second fight, you'll have no option -but- to use your bow and arrows. Dismounting Epona isn't an option that'll grant you success.