Anything can be made to radiate, it's how well is the problem. Any length of wire can be made to have a low SWR at a particular frequency but the bit of wire itself may not be resonant at that frequency. An antenna length that produces an impedance at the feedpoint that matches the output impedance of the transmitter may be said to be resonant and be a good radiator but it still needs a good ground/counterpoise to work against.
For a very simple view, if you think of a quarter wave vertical rod, then the tip of the rod will have a very high voltage and no current, it's open circuit after all so it is a high impedance. The bottom end at the ground is all current and low voltage and so it is a low impedance. Somewhere in between is the perfect match for your feedline usually 50 or 75 ohms. At the high impedance tip you can attach a half-wavelength of wire and it will match as a half wave has a high impedance at the ends and low in the middle - a dipole is a half wavelength long. Think about it!