Is there any agricultural school that can compare to Penn State University??

Im looking to be a vet and want to major in animal science and minor in equine science- is there any other good schools bc i dont necessarily want to go to penn state but they have a good curriculum and are considered highly competitive. also if i go to cornell undergrad, whats the chance i can then get into vet school at cornell or somewhere else?? will someone else accept me then as well or will they not bc im an undergrad at cornell??