Here are the 6 verses in the Bible that mention the word unicorn and helps to answer the question are unicorns real?.
Nu 23:22 - God brought them out of Egypt; he hath as it were the strength of an unicorn.
Nu 24:8 - God brought him forth out of Egypt; he hath as it were the strength of an unicorn: he shall eat up the nations his enemies, and shall break their bones, and pierce them through with his arrows.
Job 39:9 - Will the unicorn be willing to serve thee, or abide by thy crib?
Job 39:10 - Canst thou bind the unicorn with his band in the furrow? or will he harrow the valleys after thee?
Ps 29:6 - He maketh them also to skip like a calf; Lebanon and Sirion like a young unicorn.
Ps 92:10 - But my horn shalt thou exalt like the horn of an unicorn: I shall be anointed with fresh oil.
Unicorns are not the real issue. The more pressing issue is the unicow!