Yes. I wouldn't have discovered Bitcoin pretty early on if I hadn't had 'fragmented' attention. I tend to read fairly widely and follow tangents that interest me and the focus of my interest shifts around from day to day (although I do still have abiding interests). And my mind was already 'pre-prepared' for receptiveness to Bitcoin when I did first come upon it from having preciously followed some interesting things my fragmented attention had come across earlier (like how public key cryptography works and how powerful a concept it is).

This isn't meant to be a boast at all, because I'm very much aware of how my fragmented attention often takes me away from the deep focus required to complete projects. It's an interesting trade-off problem, because to focus you have to shut out 'distractions', while some 'distractions' can actually be very useful and enlightening new information. I'm sure there are many people who are doing valuable work requiring deep focus who have dismissed Bitcoin as a distraction, when, as we all agree here, Bitcoin is way too important to dismiss but it does require giving it some attention to appreciate why.

edit : should have read @elvismercury's answer to your question before replying, as they say it better than me