No, I don't think so. At worst guy will be surprised by the old graphics and old UI, but story wise it doesn't matter. There aren't spoilers in AA5 as far as I know, not even direct references, and not much difference in how the games are played.
I know a few people who started with AA4 and loved AA3 a lot more, and this one was more problematic because of hobo phoenix and being exposed to Apollo first.
I'm not saying it's like the "Play Pokemon Red first!" nonsense, just that it is much less important to know things that happened in past games. I think AA5 does it the right way, they obviously remembered a lot of years have passed since the last games and it's kinda also built with newcomers in mind.
Also people will not agree with me but I think making people play the others games first has very little chance to lead them to play AA5. they'll esaily get distracted by other things before even finishing AA3, or be fed up with the formula. AA5 is new and shiny and needs sales, and it's noob friendly.
But this isn't true. Literally just the presence and state of some characters in AA5 are spoilers.
They won't know it when they are playing AA5 because they have nothing to compare it to, but they'll realize it when they go to play previous games.
I think I might not be getting my point across clearly. While I certainly think the enjoyment of AA5 is partially hampered by not playing the previous games, I think the greater issue is anyone who starts with AA5 (or anything in the middle, really) will be negatively impacting their enjoyment of the previous games, should they choose to go back and play them. (Which many have expressed interest in doing so.)
If someone is solely interested in AA5, then of course they can play it as stand alone game and have a good experience, but should they ever choose to pursue previous entries (which is a strong possibility by the very nature of this series), they will have already ruined many things that are crucial to getting the maximum amount of enjoyment out of the series as a whole.
And while I agree that AA5 needs all the sales it can get, I am very hesitant to promote that at the expense of the individual's overarching experience with the series, which I personally think is very important to these types of games.