I assume you are using Software Serial for the HC06, you can indeed use other pins
what else is connected to your Nano? (and is that a regular nano or Nano Every?)
PS: the reason 2 and 3 are being used is that those pins support hardware interrupts and thus this makes it easier to catch events for some libraries. other pins are capable of pin change interrupts but there is a little overhead
The HC06 uses a serial interface and I assume that you will be using SoftwareSerial to create a serial port for it to use. If so, then you can use any other pins that you choose except 0, 1 and A7 to implement it