Can an acquired aortic stenosis be passed onto the next generation?

By definition no: By definition, "acquired" aortic stenosis is something you got other than from your genes. That said, many genetic factors can put you more at risk of having this over a lifetime. Also, some people (incl mds) don't use the term correctly. Furthermore, our tests are not always great at being able to see an (inheritable) bicuspid aortic valve, and thus mistakenly classify it as "acquired.".

No: There are bicuspid aortic valves that have a familial propensity, and those can become stenotic over time. That is one circumstance.