Do you mean "can I learn Q.E.D from Jackson's Classical Electrodynamics"? If so, then the answer should be fairly clearly, "NO". Jackson's book is on the Classical theory, i.e. the 19th century version, and as such completely predates Quantum Theory. (Jackson does make reference to some 20th century Physics, but the book is about the classical theory.)
QED is a Quantum Field Theory, and you need a lot more to learn that (like, a basic grounding in Quantum Mechanics).
Please excuse me if I've misunderstood your question.