We own a 100 year old rowhome in the historic district of town.

The front of the house has brick facing. There are some spots where
the facing has cracked, and has lost a brick or two.

Is there a way to repair this?

Yes.
However, there are seveal groups that will be involved.
"the historic district" means there will be a review board or
preservation group.
They may have rules and reviews.
A forensic engineer or architect would be very very useful in finding
out about the cracks,
water intrusion, and the like.
The underlying conditions and methods of repair can be complex and not
limited to the brick.
The building department will want drawings and specifications.
Eventually, a mason contractor will do the work.
TB