Yes, it certainly is possible to stop growing and then start again. Growth usually comes in spurts, and may stop for a year or so and then start again. Your genes mostly determine your growth cycle, besides having good sleep habits and nutrition habits.
Is it possible to suddenly grow taller?
Between age 1 and puberty, most people gain about 2 inches in height each year. Boys may not experience this sudden increase in height until the end of their teens. You generally stop growing taller after you go through puberty. This means that as an adult, you are unlikely to increase your height.
Can you still grow after 2 years of not growing?
No, an adult cannot increase their height after the growth plates close. However, there are plenty of ways a person can improve their posture to look taller. Also, a person can take preventative measures against height loss as they age.