Yes, in most cases a single cracked or damaged brick can be cut out and replaced without touching the rest of the wall, as long as the brick and mortar around it are still sound. A mason grinds out the mortar joints on all four sides of the damaged brick, works it loose without disturbing its neighbors, and sets a matching replacement brick with fresh mortar tooled to blend with the surrounding joints.
A brick wall doesn't rely on any single brick to carry its load, the mortar joints tie the whole field together, so swapping one damaged unit doesn't weaken the wall as long as the surrounding brick and joints are structurally fine. This is the same logic behind spot repointing: you only disturb what actually needs it, not the whole surface.
Where a single swap isn't enough is when the damage isn't really isolated. A crack that runs in a stair-step pattern through several bricks usually points to movement in the wall itself, not a bad brick, and the surrounding brick may be just as compromised even if it looks fine. In those cases the fix has to address the cause of the movement, not just the one visible crack.
For older homes around Hillsville and Galax, matching the replacement brick is often the harder part of the job, color, size, and texture all have to line up or the patch stands out. Getting a loose or cracked brick swapped out sooner rather than later matters here too, an open gap lets water into the wall right before winter, and that water freezing and expanding is what turns a one-brick problem into a bigger one.
Because the fix touches a small footprint, most single-brick swaps can be scheduled and finished in a short visit, without the scaffolding or larger disruption a full repointing job needs. That's part of why it's worth having a cracked or loose brick looked at as soon as it's noticed rather than waiting out a season, a quick swap now is a much smaller job than the same brick becomes after sitting open through another Blue Ridge winter.
More on this from Chelo's Brick & Stone.
Chelo's Brick & Stone serves Hillsville, Galax, Wytheville, Fancy Gap, and Independence, VA. Call for a straight answer and a free on-site estimate.