I took out garbage that a wild animal got into and i had a open cut on my hand. can i get rabies this way?

Highly unlikley: It is important to remember that viruses like rabies, hepc, HIV and others are strings of proteins that are connected by very weak bonds.They require many things to stay active and need living cells to reproduce and survive. Unless there was gross blood, mucous or some other organic substance from a rabid animal and it got into your cut right after the animal was there, the odds are very unlikely.