I don't think there is any connection. I have had a number of pet mice, some rather verbal, some like a church mouse. Usually with rodents, there will be other noises besides squeaking.
Other animals may sound like squeaking or chirping like crickets, click beetles etc.
Mice will leave evidence behind such as their mouse dirt, if that is the case, you might look to those electronic rodent repellers, those annoy mice so bad, they pack up and leave.