The Dink Network

I'm afraid not. 600 ticks is what it takes. See also dink.cpp line 3036 and further:

    if (play.push_active) if (play.push_timer + 600 < thisTickCount)
    {
// stuff like setting sequence and such
        run_through_tag_list_push(h);

        return;
    }

The run_through_tag_list_push(h) triggers the "push" procedure in DinkC-land.