Well sort of true. A moving electrical charge produces a "B" field (magnetic). A time variant "B" field produces an "E" field which produces another "B" field and so on ad infinitum. What we call electromagnet radiation is comprised of these two "Janus" like fields. Though they are each an independent phenomenon you can never have one without the other. Think of it like Siamese twins, they are two separate things but always found together. The alternating interaction of the E and B vector fields are viewed as a wave of EM radiation (radio, infrared, visible light, ultraviolet, X-rays, gamma rays, &c, differing only in frequency & energy) which travels through the vacuum of space.
To further muddy the waters, what you see, "E" field, "B" field, or both together depends upon your frame of reference relative to the EM wave. In the blink of an eye you are wading through the "Special Theory of Relativity" and quantum mechanics...
Regards,
GtG