pathfinder 1e – Can you train a hydra after using Charm Monster?

So my plucky halfling street performer bard is whisked away to a magical land and lands in a tropical beach. A six-headed hydra assails the party from the surf. In response, my halfling softens it up with a dirge of doom and successfully enchants it with Charm Monster. I’m level 10, so in theory it is now a nice, friendly hydra for ten days.

So, the question: Can I use Handle Animal or any other mechanic to domesticate the beast and get me a pet-six headed hydra?