I think there are plenty of people who want to go into these professions and who would be qualified, but who are weeded out by a system that is not really designed to produce enough doctors and technicians to meet demand. Our politicians are fixated on manipulating demand so that the inadequate supply will appear to be enough, even though it is not.
There are really only two options. To become fully trained in a medical specialty requires about eight years of more than full time effort (way more) after college. In this country, a potential doctor, goes way into debt and defers income for that period of time in order to train. The rewards are potentially great, but it is a hard road and often a hard life. Not many make it through.
In Europe they have plenty of doctors. There, the government pays the tuition and gives the student a nice salary all the way through their training. When they get out they continue to make respectable money as government employees and they have limited work hours. That is an amazingly costly government program. They offset it by rationing health care.