I am 182 cm tall. Is a road bike with a frame height 54cm good for me?
I am 175cm tall. I rode a road bike recently with a 56cm frame. I it had been any bigger I wouldn't have been able to ride it safely. 54 or 52cm would have been a better fit.

I suspect that a 54cm frame would be a bit small for you, but not painfully so. Get a 56 if you can.