1. To force, impel, involve, or convince someone to participate in an undesirable situation or action. I can't believe you dragged me into this cockamamie scheme of yours. I can't go this weekend, my boss is dragging me into some team-building workshop on Saturday. Oh no, don't drag me into your fight with your girlfriend, I want nothing to do with it.

2. To involve or bring up someone in a conversation that they are not (or doesn't desire to be) involved in. Don't drag the kids into this; this is about your drinking problem, and nothing else.