No, it can't be done for a lot of reasons. Here are just a few.
1) Memories are stored in electrical pathways, not the the cells themselves. You don't have 1000 memories in a chunk of brain that contains 1000 neurons. If you don't get the entire pathway, you won't get the memory.
2) Once a nerve is cut, it won't fuse with another cut nerve. All you'll have is a chunk of dying animal brain in your head. Even if a skilled neurosurgeon united the blood vessels of your brain to those of the chunk to keep it alive, the nerves themselves wouldn't become a working part of your brain. All you'd have (at best) is a useless chunk of another animal's brain sitting where your now-missing chunk was.
3) Animals are different from us. Your body would recognize the different-animal brain matter as foreign, and would make antibodies to it and reduce it to mush (if one didn't die of infection before then).