For a male, yea, at about 3-5 months you start seeing where their yellow bars are going to come in and they get more and more saturated with each shed. And as they grow any blues or oranges they have will also start to come in with each new shed.
With females they'll get their big-girl spots when they reach sexual maturity, which is usually at 6 months of age, give or take. So that's when they'll get their robin egg blue and mustard spots.