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Yes, it is usually possible to repair a damaged brick mailbox. A professional brick mason or masonry contractor can perform the repairs. They can assess the damage, provide an estimate, and help you determine if the repair is worthwhile based on the mailbox's value and the extent of the damage. The repair process may involve sourcing replacement bricks and mortar. Damaged bricks can be cut out and replaced, or the mortar joints can be cut out and retucked. It's important to note that the new mortar may differ in color from the original. If the mailbox insert itself is damaged, it can typically be cut out and replaced as well. If your brick mailbox has been completely destroyed, you should check with your local building code enforcement office before rebuilding, as some areas do not allow brick mailboxes due to the potential hazard they pose to drivers.

It is possible, albeit a lot slower, to break up a rock using water. You would do this by freezing and thawing the water. You could create some initial holes or cracks in the rock, then pour water into the cracks or holes and allow them to freeze (so it's best to do this in winter or in colder climates). Since water expands when it freezes, this puts pressure on the inside of the rock and causes it to crack. You could continue to pour more water in and let it freeze to continue to break up the rock.

Drilling into brick doesn’t have to be a dangerous project if you prep and approach it with the right tools and techniques, but it does come with risks if it’s not done correctly. It can lead to significant issues, such as damaging the brick or affecting the wall’s structural integrity. Applying too much force can crack or chip the brick, while incorrect placement might compromise its load-bearing strength. 

You may not need a hammer drill if you’re planning on drilling one or two very small diameter holes in brick. For holes with a diameter of 3/16-inch or less, a regular drill with a masonry bit can do the job. However, the bit will heat up quickly, and the process will take significantly longer than with a hammer drill. Prepare to cool your drill bit down in a bucket of water more often.