While having bad hardware will definitely make it hard for you to reach your full potential it will by no means define your skill as a player, only you can do that. To drive this point home here are some things for you to think about:
Blaze plays roamer at 100 ping almost every scrim and match and is still considered the best roamer in NA by many. Would he play better with lower ping? Absolutely, but he doesn't complain about his ping all the time he just deals with it.
I remember watching a Dummy POV where he was literally playing a match with a broken mouse. It was pretty insane to watch him aim only to have his mouse lock up and start getting all jittery, and then watch some magical pipes still hit targets.
I want to say that Clockwork had fps problems a while back too, but I'm not 100% about that so I'll leave that alone for now (feel free to comment on this someone/clock).