As @aaronhoff says - we encourage this!
One thing to be aware of is that if you’re writing an app, we generally recommend against having it auto-DM people, for instance (which you’re acknowledging here - cool beans). The general @reply syntax on Twitter is very conversational though, and so long as you are not being deliberately annoying and accept that some folks may not want to reply or engage with you / your research, you’re welcome to ask!