Until I started learning something as hard as the guitar, everything I'd had to learn in the past had come pretty easily to me, so I didn't need to study hard in school, etc, but that meant that I just passed on the really hard things (like advanced math). I think I lost out on the life-lesson about how effective diligent practice is at improving skills. I might have tackled even harder things earlier in my life.
I think very young people might have an advantage in how quickly they gain the required dexterity. However I've usually associated a young person's ability to learn the guitar quickly with the fact that most young people have a lot of free time on their hands and they just spend a lot more time practising than a busy adult.
Unless you've got an explicit ailment (eg arthritis) I don't think age is a barrier. "Working man's hands" might slow you down a bit at the start. I guess I'm lucky to have "programmers hands" :)
I had been a musician, playing clarinet and sax, in high school and college so I knew how to read music and knew a bit of music theory. I decided one day that I wanted to learn. I bought an inexpensive Yamaha keyboard and a beginner level book and started working through it. It took me about a year but I was playing songs using both hands and with lots of mistakes.
At that point, I decided I liked it and wanted to continue so I bought a new upright piano and continued learning from other books and finding popular and jazz music I wanted to learn and just dove in. I'm probably a piano teacher's worst nightmare but I don't care. I love to play and I would love to get better but, at this point, I just can't devote the additional time at the keyboard needed to do that. And that's OK by me.