YES - have one of those !!
ebf until 6 months - bf until 3.5 years (self-weaned). Was the most amazingly fussy baby and a bit of a nightmare toddler.
He woke up every hour for bf until 9 months old.
Rubblish sleeper, short day time naps, wanted to be held constantly until around 4 months or so, would only sleep in a car seat when constantly "jigged around", drove us crazy until he was 9 months old 
BUT, has been sleeping 10 hours a night since 9 months old,
never had or has nightmares, never gets scared, never woke up or wakes up before 8 am (ah.....bliss !!)
Has turned out to be an incredibly intelligent, independent, humorous gorgeous boy (now 7.5 year old boy in year 3 at school). First day at nursery (around 3.5 years old) other children were crying/clinging to their parents, DS didn't even look back once, ran into the buidling never even looked at me once ! All that clinging to us as a baby obviously paid off later in life 
Fussiness still exists, but only because he is a bit of a perfectionist when it comes to art (he is a very talented artist - this one is a genetic trait luckily it runs in the family). Art teachers are telling me he is doing drawings and has artistic imagination/ideas way above his age.
He was totally mis-understood, misread at school due to anxiety over things he was not able to do (again this is a trait commonly seen in intelligent children). School was telling us there was defo. something wrong with him, sent us to see doctors left right and centre, we persisted and insisted there wasn't.
Now the same school tells us they can't believe how he has "changed" since the end of year 1 - and agree with what I said all along: that whatever it was in reception/year was due to his very young age (he is one of the youngest in a group of 30) and his perfectionism - Aha !! I feel like showing them a rude finger sign and saying "I told you so" !
Have read numerous research over the years which says fussy babies/toddlers are often very intelligent and in some cases highly gifted : )
If you have a baby/toddler who fits this picture and is likely to be very young (a summer baby like DS) when they start primary, a word of caution. They may "misdiagonose" them with all sorts of things. Obviosuly it all depends on how nice and understanding the teachers/school enviornment is. Ours put us through hell and back, something I don't thank them for.
May be they all simply need to do their research as I have had to on fussy, but very clever children.