In short the answer to your question is yes. A half broken tooth
can be restored to look like normal
in many ways depending upon the damage which has been caused to the tooth and the pulp tissue inside the tooth (nerve as we normally call it.) you may need a root canal treatment
if the tooth is broken near the pulp tissue and then the tooth can be restored to look like normal with a tooth coloured composite resin filling or a veneer or a crown as the level of damage may be. You need to visit a dentist
at the earliest and get
a thorough clinical and radiological examination of the said tooth and discuss the treatment options.