No, not if the tire has a sensor inside the tire. If you move it, the car will still read it but does not know where it is unless you tell it. Some cars don’t really matter, like my Mustang, since even if I program the system with the correct location - takes a special tool - it matters not. Why? Because the car won’t tell me which tire is low, just that one IS. It is up to me to find it.
GM cars, as @common_sense_answer points out, have a procedure and many GM models will display each tires pressure reading on the info display so correct location is useful.
Some cars use the ABS readings to figure out low tires at each corner. If you rotate the tires, as long as you don’t change the pressures, the system will read the correct tire is low since the sensor is on the corner, not the tire.
As long as your TPMS light isn’t ON, don’t worry about it.