It must have a specific size and a specific number of turn of the cu-wire coil and the wire a specific diameter.
No .... the thing that matters is the resonant frequency. The large the coil the bigger the range and you will be able to resonate it by adding capacitors. However the coil driver must have the power to drive the coil.
You can get a range of 2 - 3 feet with a large coil and passive 125KHz tags but you will have to build it yourself. Normally RFID applications don't need a long range. When I designed them I used to get about 18" range with a 4" by 2" coil. Aim to get it to resonate with about 10nF across it, and tune it to 5% either side of resonance for the maximum reading distance.