No! Poorly fitted glasses don't have any long-term effect on the health of your eyes. However, we should distinguish between the eyes of an adult and the eyes of a child, the latter of which are still developing. If a pair of glasses is poorly fitted, then this can definitely impair the vision of children and young adults.
Glasses which are not optimally fitted to the wearer's eyes can lead to different symptoms. This doesn't cause damage, but it certainly strains your eyes. And it means that your eyes have to work harder. The possible consequences are numerous and include everything from headaches and neck pain, all the way to dizziness or double images. An incorrectly fitted pair of glasses can contribute significantly to burning & Itchy eyes.