Somewhat tautologically, yes. Building and giving away homes is a solution to "involuntary lack of a home". Of course the effective reality is not so simple.

Somewhat tautologically, yes. Building and giving away homes is a solution to "involuntary lack of a home". Of course the effective reality is not so simple. Done naively you are going to end up with little more than a tent city with a greater sense of permanence. Tent cities "solve 'homelessness'" in the strictest sense, but of course a satisfactory solution is more than that. They need to be accompanied by social programs designed to help people with a wide variety of problems (mostly having to do with joblessness and health (mental or otherwise)).