No, not ordinarily. There have been various optional rules on this, however. One says that you always get the same critters (in order, so your first blink dog will always be Brunhilde, the second concurrent summoned blink dog always her pal Siegfried, then Joe, then Quesadilla, and so on). It is not a calling, however. You do not get a real creature, and you can't summon specific ones outside the optional rules.
There are some rules for summoning a specific entity. I'm not sure you should generalize off this specific case though.
In the Pathfinder Roleplaying Game, characters can use the summon monster VI spell to summon an avoral. Good heroes from Andoran can use planar ally to call Talmandor himself, though often another avoral responds in his stead.
Also, I forget where it says it, summons from summon monster aren't actually real outsiders, more planar energies temporarily give a specific form. To actually bring outsiders to another plane, you need a calling spell.
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Yes, but it must be an employee of the Summon Monster Call Center and working its shift at the time you cast.
Yeah, they'd have to be 'on-call', or else you'd run the risk of summoning or calling extraplanar beasties right out of important business, or right after a battle when they are at half health and afflicted with whatever, or in the shower, or coitus interrupting a fiendish tyrannosaurus to the soul-searing horror of all present.