Can you have composite veneers on your bottom teeth?

Yes . Yes it is possible. You need to see a dentist for proper diagnosis and treatment plan.
Yes. Be sure when consulting your dentist they check to see if you are a grinder. A night guard may be needed to protect the teeth. This may also have contributed to the problem from the beginning.
Yes. Porcelain veneers will be more durable, last longer, and most of the time, look better, but composite veneers can also work. Depending on your bite, you may want to use an occlusal guard at night if you do any type of grinding or clenching during sleep.
Unclear question. What you mean by the word veneers?
Yes. Absolutely. Done all the time. Must monitor the wear and rebuild / replace as needed. Assessment and correction and adjustment of the bite may be needed.