As a matter of fact, no. The smallest goat goes first, and the troll tries to eat it, but the goat tells it he can eat the bigger goat that's about to cross. So the troll lets him pass and waits for the next goat... and he lets the other goat pass because the biggest one is on their way.

[He waits a second or two. Suspense??]

When that time comes up, the goat is strong enough to push the troll off the bridge. So, in the end the goats were safe and the monster received nothing.