That "old style" nomenclature isn't correct and the two don't mean the same either. If the 182-108-96 / H-Ch-W is correct, the old style measurement should be 54-5 or possibly 54-6, but if the "56" is correct it will have a chest size of 44" and waist 38" and is more likely to have been made height size 6 than 5, ie for a big man, rather than a shorter, probably fatter man, but not necessarily lol...
So no, unfortunately it's too big for you.
You want old style 52-3.
For the life of me I can't remember where I saw the height size comparison chart but it goes something like this:
about 170 = 3 / about 174 = 4 / about 178 = 5 / about 185 = 6 and here's a linky for the rest.