The Large One
Who's Next?
I've literally just given you evidence from the Oxford English Dictionary. That's what you're arguing with, not me. It is perfectly acceptable to be used. Language evolves.
The OED only offered an over-arching example, stating the concept of giving or receiving without any context or perspective.
In this context, to 'get' a coffee is to help yourself to it. In a coffee shop, you don't help yourself, you are served. So no, you may not 'get a latte...'