This can certainly be achieved using microwaves, rather than light. Particles cannot travel at c so it is always necessary that the EM wave is deliberately slowed down for this to work. You can use a 'slow wave structure', for instance a helical transmission line, to accelerate charged particles. A wave that's launched along the helix will have a series of maxes and mins of E field that sweep along the helix. Electrons can be caught by the fields in the wave and accelerated. That sounds a lot like 'surfing' to me.
A linear accelerator, used in modern X ray machines, used for radiotherapy, works on a similar principle by E fields, sweeping along the accelerator tube.