Can I Have Bonding Done on my Teeth Without Grinding Any of Them Down?

From your description it sounds to me like the reason that your teeth are chipped is because you are grinding your teeth.  If this is in fact the case, dental bonding would not be a wise choice for you.  You would fracture the bonding after a short period of time.  You should see a dentist that is used to treating cases cosmetically in grinders.  Your dentist needs to figure out why you are grinding first, then he can figure out the best long term solution for your chipped teeth.  Most likely, porcelain veneers would be the better option.  If you have veneers placed you would need to be placed in a night guard after wards to protect the porcelain if you continue to grind.  See a dentist that specializes in Neuromuscular Dentistry and have him/her do a thorough evaluation of your bite to determine why you are grinding and what the solution should be. Good luck.

The reason the teeth are chipped, worn or shorter is likely due to a bite issue.  If the bite issue is still active/present, then you should expect the bonding to fail fairly quickly.  Even after the bite has been addressed, without any tooth reduction at all there likey will not be enough surface area to get the bonding to stick.

There is rarely a quick, easy and cheap way to fix chipped, worn and shorter teeth.

There is a good reason why your teeth look the way they do. You and your dentist should explore why they got that way before you decide on what to do about it.  Bonding can indeed be done without much, if any, change in tooth shape, but if all you do is bond beautiful composite, which is plastic, to a place that used to be enamel, the hardest part of our bodies, you will see that bonding fail.

Find out why, fix that first, then the treatment choices become much clearer and way more predictable.