does macbook pro 13 2015 pair with iphone 13 pro max

You are welcome. While there are several functions that require Bluetooth to be turned on your various devices, there is no requirement for “pairing” in the traditional Bluetooth sense. Instead, check out the Apple article below for activities that use Continuity between devices.

Use Continuity to connect your Mac, iPhone, iPad, iPod touch, and Apple Watch - Apple Support

No, there is no supported Bluetooth protocol to do so.

Exactly what are you hoping to accomplish?