Answer:
F = M a where M is acceleration and a is acceleration
a = x / s^2 = distance / time squared
The Newton is derived because mass, distance, and time are all fundamental units One would have to look at the fundamental requirements for these definitions, but they can all be repeated in a laboratory.
So the Newton is determined from these fundamental units and since the Joule equals Newton * Distance it is also derived from the fundamental units.
If one has the three fundamental units then one can derive the Joule and Newton.