One of mine has so far. DS was very fussy - no sauces, only certain kinds of cheese/bread/rice, plain cooked vegetables only, only one kind of fromage frais, nothing mixed together, kept going off the limited range of things he would eat, refused school meals, etc etc. I tried the usual bribery/star chart/nothing sweet etc, without effect, so just chilled out and left him to it.
But he is now 12 and eats pretty much everything - favourites are curry (lentils, paneer, anything), moules frites, any kind of fish - we went to a posh pub at the weekend and he had fish soup followed by salmon on a bed of butter beans and various veg - ate it all.
I think the main change was hitting the ravenously hungry pre-teen stage, and going to a secondary school which cooked all meals from scratch on the premises so the food was actually good. But I think they do also get into a more experimental stage in the early teens - lots of them start liking spicy foods and so on at that age that they wouldn't have eaten before.
I am now hoping that DD (8) goes the same way as she is currently just as fussy as her brother once was, if not worse. I'm trying the chilling-out and leaving her to it tactic again.