Can I get asbestosis in this day and age?

Asbestosis. Not usually. Asbestos has been banned in commercial and residential building products however; there are some manufactured products that contain asbestos, or components, and those products must be labelled. In addition, some old buildings may still have asbestos insulation, etc. If you do not work directly with asbestos, such as in reclamation or manufacturing, your chances are quite low.