Hi Mattimuss, welcome to BB.
I just wanted to add that usually anxiety as an illness isn't diagnosed until it has persisted for several weeks or months, occurring more often than not. Overexaggeration of a risk can point towards anxiety, but doesn't automatically mean you have it. It is possible for any strong fear to warp your memories - that fear does not have to be anxiety-related.
I do suspect that overexaggerated fears can point towards a person with a propensity for anxiety. As a child, I was once absolutely convinced I was choking to death, even though I obviously wasn't. At the time I did not have anxiety, but looking back, it's pretty obvious that I've always been predisposed to those kinds of thoughts. Then again, just because you have felt this way, I'm sure it doesn't necessarily mean you have or will have anxiety.