Electromagnetic resonance is a very useful phenomenon. The first thought that comes to mind is tuning radio receivers, though I imagine that one could consider related phenomenon such as lasers as examples of electromagnetic resonance.
The amount of energy momentum in an electromagnetic field is very small, however, so electromagnetism - resonant or not - doesn't seem to suggest a practical way to manipulate or distort space-time for human beings on Earth. A grain of sand would do much more to distort space-time than our most powerful broadcast transmitter, for instance - as the grain of sand carries considerably more energy. Energy and momentum, in the form of the stress-energy tensor, is what distorts the fabric of space-time according to general relativity.