Is this a possibility?
It depends on what exactly you mean. But yes, it is.
Anything that has energy distorts space-time according to einstein's equations for general relativity http://en.wikipedia.org/wiki/Einstein's_equation
Electromagnetic fields do carry energy, so they do distort space-time.
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.
Actually, Electromagnetic fields do not carry energy, they only ttransfer it. Electromagnetic waves do all the carrying.
A blast from the past....
http://en.wikipedia.org/w/index.php...ergy_density_of_electric_and_magnetic_fields" has some formulas for the energy content of a static electromagnetic field. I'm sure I could confirm them with a textbook if needed, they're pretty standard formulas.
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