Brick laying robots already exist. This isn't a problem that can't be solved, it's a question of making it economically viable.
But the future is pretty obviously going to be skilled machinery operators overseeing the automation.
Even more interesting its once you automate like this the constraints start changing: i.e. it's easier to have a robot lay bricks with epoxy then cement, whereas a non automated work flow would struggle.
There's a Perth based company which has a prototype which basically will layout an entire house on a concrete slab via a boom arm that uses this approach: pallets go in, structured bricks come out.