Broadly, yes it will be in the ball park, but what TMN says above is right on the money.
We have an old 48cm Pinarello Angliru, which is (or has been) used by three family members: Wife 5' 5", daughter 5' 3" and son 5' 6" and still growing.
Different stem lengths and various saddle and bar adjustments have been done, but all are comfortable on it. I suspest my son is just about outgrowing it but we have nothing else under 52cm.
There is a (strong) school of thought that you will not know until you've ridden it, but I've bought unseen and unridden and have never found a geometry so unpalatable as to be unuseable.
Also, my children all came up through various kiddie bikes and then through the roadbike sizes we had at the time: 43cm, 48cm and 52cm. In all cases they simply got on, got comfortable and got riding. I think it is possible (particularly for the leisure rider) to get too swept up in the quest for the ultimate fit.
With a little imagination, a couple of stems of different lengths and a plumb line you can usually find a set-up that suits on a bike that is (in theory) about the right frame size.
Good luck. If you like it, I'd buy it.