For most modern phones, no. Assuming you are talking about a power supply wall wart with the USB jack on it you have 3 things to look at: voltage output, amperage, quick charge compatibility.
The actual "charger" is a circuit inside your phone and the brick is just a power supply. Your charger (phone) will look at the voltage and amperage available from the brick and charge at the highest rate it can maintain within factory set thermal parameters.
If your phone is quick charge/turbo/whatever they want to call it this week it will bounce a digital signal to the brick and the brick will step the voltage up to the requested level. In this instance it is good to have a brick that meets at least the quick charge generation of your device if you want to quick charge it.
If you do not want/need to quick charge you could use just about any 5-5.3volt .2-2 amp charger and be just fine. An old .2 amp (200mA) charger from an old device will still charge a modern cell phone overnight. A 2 amp charger without quick charge will take 4-6 hours in most cases. A quick charge first gen brick will charge at a first gen rate and a second gen will charge at a second gen rate etc. A quick charge brick will also charge non quick charge devices at about 2 Amps or at their maximum thermal capacity as set by the devices internal charging circuits. Some very old devices that ran mini USB (my car alarm pager) may not be healthy if connected to a higher amperage than the brick it came with as they didn't all have internal charging circuits designed around thermal capacity when mini USB was the standard.
Hope this helps.
