No, Neil, in a given medium, 'free space', open wire line, coaxial cable etc., the velocity is the same for all frequencies. In a comparison between mediums, the velocity may be different, one to another, and a resonant or tuned length will be longer or shorter by that factor.
The speed of an electromamgnetic wave (so radio, light, x rays, gamma rays etc) in vacuum is approximately 300,000km/sec.
In a cable the speed is then dependant on the velocity factor, which is a ratio of the speed of the wave in the cable related to that in vaccuum. In most typical cables or other electromagnetic media (fibreoptic cable, lenses, etc) the speed is proportional to the square root of the dielectric constant of the material (also the permeability for case of magnetic materials). So most cables have insulation of plastic (polythene, PTFE, etc) having dielectric constant around 2 to 2.5, so the velocity factor is around typically 70% for solid dielectric, or maybe 75% for air-spaced plastic dielectric.
The velocity factor also simply the inverse of the refractive index of the material: so for a dielectric constant of say 2.25, the refractive index is 1.5, and the velocity factor is 0.667. (Assuming the material is non-magnetic).
So since the speed of light is 300km/sec or 186,000 mile/sec: if you connect yourself to a mile of cable and then have high voltage power applied at the other end, it will take 5.3 microseconds before you are electrocuted for open wires, or 7 microseconds through typical plastic-insulated cable.
If the the cable were 70 light-years long, you then need not worry