There's no existing archetype that does this. However...
Ultimate Combat has a Falconer archetype, which is basically a ranger that concentrates on a bird of prey. He basically trades away his Wild Empathy in exchange for a bird companion at 1st level (and druid progression for it rather than ranger progression) and the fact it has half normal HP until the ranger gains the normal Hunter's Bond ability.
I could see a variation of this to gain a familiar instead of an animal companion - the two concepts are balanced. Perhaps give up Wild Empathy in exchange for a familiar, but he'll have to wait until level 4 to get the familiar-specific ability (i.e. the thing you get for choosing a cat, frog, etc.).