Short Answer:
No.

Long Answer:
Canker sores are not a form of herpes, however, they are often confused and mistaken for cold sores.
Canker sores, also called aphthous ulcers, are small, shallow lesions that develop on the soft tissues in your mouth — under your tongue, inside your cheeks or lips, and at the base of your gums. Unlike cold sores, canker sores don’t occur on the surface of your lips and aren’t contagious. They can be very painful, however, and can make eating and talking difficult. Canker sores, especially of the lip or oral mucosa and can be caused by acute stress, trauma to the area in your mouth, allergies, or by a reaction to a particular bacteria.