No, they would not exist.
Work Step by Step
Electromagnetic waves depend on electric and magnetic fields mutually refreshing each other to sustain themselves. A changing electric field creates a changing magnetic field, and a changing magnetic field creates a changing electric field. The two fields carry themselves and each other along in this way, traveling at an incredible 299,792,458 m/s through outer space. If the relationship were one-way, electromagnetic waves would not exist.