Is it possible to fix a very small chip in a front tooth using composite bonding without drilling away the remaining enamel?

Hi from Hillsboro, Oregon!  You mentioned at the onset, that the chip was caused by a fall. It was not caused by biting into an apple and it seems like you have take precautions by wearing a bite guard and take good care of your teeth. Your dentist can simply use composite bonding and that will take care of the chip. He does not need to reduce the size of the tooth. It is a simple fix for you and I would go for it and not make this complicated!  Get it bonded!

Small chips can be quickly fixed using bonding materials; however these materials are predominantly plastic and will not last your lifetime.  I have found the best solution to small chips on front teeth is to have a laboratory technician create a small piece of porcelain with the precise shape and color of the missing piece.  This porcelain can be bonded to replace the small chip and often requires little additional tooth reduction.  This makes it far kinder to the tooth while offering greater durability and longevity than bonding.

It is difficult to say without seeing the chipped area but it is likely a dentist can fill this area with composite.  It would probably be helpful to slightly abrade the area for retention but again, that depends on the nature of the chip.  Talk with your dentist about your concerns and I'm sure you can find a solution that will make you comfortable.  Good luck!