Is it normal to have anal fissures?

No: Anal fissures are common, but not normal; tears in the lining of the anus; often assoc with hard stool, and/or tight anal sphincter. If they are in the north/south locations of the anus can be seen in otherwise healthy people; other locations can be assoc with things like Crohn's disease; Crohn's fissures can be north/south too. See your doc, gi, or colorectal specialist; may (not) be a big thing.

No: Fissures result from irregular bowel patterns and the ling of the anal canal tears over the internal sphincter. They are usually orient at 12 or 6 o'clock. Fissure off the midline may be indicative of other more serious maladies. See a colorectal surgeon for proper evaluation.