within touching distance

1. Physically close enough (to someone or something) as to touch them. That cat's no dummy—she won't go within touching distance of the kids. You're granny is not feeling well right now, so please don't get within touching distance when we go in to say hello, OK? Ugh, the light switch isn't quite within touching distance for me. Can you get it?

2. Very nearly attainable. We were within touching distance of the championship title, but we lost in the final moments of the game. Getting an A this semester will be tough, but if you can ace this next exam, you'll be within touching distance.