The act of running an agriculuture production and/or any value add upstream or downstream activities (agriculuture inputs, processing, distribution/retailing) profitably can be understood as agribusiness (simplistically speaking. You can find a more academic definition very easily).
For your second part of the question generally speaking the answer is yes but it very much depend on your personal skills and capabilities. If you would like to work in non-agribusiness companies then you should seriously reconsider your choice of following the Agribusiness specialisation track.
If you would require any specific guidance you might want to review Agribusiness Academy :