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While an HR degree would be good, few school offer such a degree. Most peoole I know in HR do not have degrees specifically in that field. Most people "evolve" into the field by seeking and taking opportunities in that area and develop a skill-set that makes them qualified, competent HR people.
If you cannot or are unable to major in HR you should consider earning a PHR or SPHR designation through SHRM, look for HR internships, and seek jobs that are HR related in some way.
Hope this helps,