It depends on the county you are in. I am in Romania and I got in HR after graduating Computer Science and a master's degree in Business and communication. I got an entry level position while still a student and now after several years on specialist positions, I am HR manager. In the US I think you need a certain degree to get to a certain level in HR. You can ask this on LinkedIn - HR groups.
SPHR certification helps a lot - so try to pursue that. However, getting it depends on the number of years of experience that you have in HR - the more, the easier it is to get.