Practically no.every wire will have some resistance.
If they (ends) are connected by an ideal conductor wire (zero resistance) theoretically), it forms a close loop. As there is no resistance to oppose the flow, the flow of electrons will be vigorous, infinite current will flow, we call short circuit .
In any realistic circuit (including a short circuit) and with any realistic voltage source, you will always have some resistance, even if you do not have something specifically designed to be a "resistor". For example, even a normal wire has some resistance. That resistance is so low that we usually ignore it, because other things in the circuit usually have far larger resistances, so it's usually a good approximation to ignore the wire. But when it's just the wire, you can't ignore its resistance. Current will flow, and since the resistance is low -- though not zero -- you will just get a really large current. This will heat up the wire just like any resistor (as you know). And typically that will cause problems like melting the wire or its insulation, or just starting a fire.