no, but my 6 week old DD has these too and has been having them for a couple of weeks, so that's really early
things that set her off are similar to what you describe - e.g. once I accidentally hit her face with my hand while feeding her, it wasn't hard at all but gave her (and me!) a terrible shock, or last night DH sneezed while she was sitting on him
Sometimes she also gets worked up by things like having her face washed (which she hates).
She calms down quickly once I soothe her, but it's quite alarming to see a little baby crying like that. You have my sympathy for the 1/2 hour to calm her down - it must have been very distressing.
Ever since she was born she has always been able to go from totally calm to screaming madly in about 60 seconds. A midwife even commented on it one day in hospital and I told her she did it frequently.
I've never worried too much about it, just assumed it was part of who she is.
It wouldn't be that weird for her to have such a disposition as I was no stranger to the temper tantrum as a child.
I would be interested if anyone has any light to shed on little babies having tantrums though.