In the lore of Destiny it appears that warlocks are the main class that have blink and also says that some hunter ( bladedancers) have learned blink from warlocks.
So why does only the voidwalker have blink? Stormcaller needs blink too I think
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Voidwalkers are exactly that. They toy with the fabric of our universe and tip-toe on the border between it and the Void. Which is how they explain Blinking. Bladedancer's didn't copy the method they just learned a different approach to get the same result. Stormcallers are not keen on the binds of existence as much as they are entranced in the intricacies of some other aspect in their study of the Light to be revealed in their new Lore side. You could say the same for we Hunters, but in all honesty that's all to be discovered and I'm personally glad.