Did i over rev my engine?

Its a 2012 honda fit, i was trying to get on the freeway from a dead stop, with no shoulder in about 30 feet, so i had to use the limited shoulder to get speed up, so i put my car in "sport" mode, and floored it from a dead stop, i watched the rpm guage go from a little under 1, to 5 in a few secs, but then i was at 40 with no one behind me so i let off the gas a little but the car was still at about 5,500 rpms, then i saw a car switch from the middle to slow lane going the speed limit so i needed to go faster so i gave it about 3/4 throttle and the rpm guage went like 500 rpms into the red zone, luckly i saw and let off the gas, so it was only there for about a second. Did this damage it? There are no strange noises or anything

There could very well be damage but probably not too much. I'm no mechanic but it doesn't really sound like anything that would be too bad. Don't do it too often and your transmission should be fine. At least you weren't neutral dropping it.

The strange noise you would hear if there was a problem will be a "BANG, WHAM, SCREECH, WHOMP, WANG, DING, DING, DING. AND THEN no noise. Car is dead.
But the car is still running, so you got off THIS TIME.