Is there a way of opening Logic's drummer in Pro Tools?

No, Logic's Drummer is a plugin or application that works exclusively within Logic.

However there are ways to use the result of Logic's drummer in Pro Tools. You could route Logic's audio output into Pro Tools using third party applications like BlackHole or LoopBack. This provides you with an option to listen to the result in real-time. Another possibility is just to bounce a submix in pro tools, import it into Logic, use the drummer and export the audio to use in Pro Tools.

Sir,

If Pro Tools uses Ableton Link (which I believe it does), you can use those 2 programs in tandem (Logic Pro/Pro Tools). Although you cannot open Drummer in Pro tools per se, you can work with it alongside Pro tools to jam, write, compose, etc.