Nope. Depending on how you count SoulSilver, my favorite gen is 2 or 4. I usually count it as 4, since it introduces a lot of the gen 4 benefits. Doesn't really matter for this question, since Ninetales is not from gen 2 or 4, and it's not from 6 either, which is quickly shaping up to displace SoulSilver as my favorite pokemon game.
I have a hard time deciding my favorite generation tough. Gen1 has nostalgia factor and several really cool pokemon, in Gen2 I like Johto's design, but dead Kanto and the level curve suck and there aren't many remarkable mons, Gen3 was actually really cool in terms of region and pokemon(and the GC games are still faves of mine), Gen4 has a cool region and definitely some cool mons, but too many old evos, Gen5 has a lot of pokemon I really like and good plot, but a very linear region. Gen 6 is shaping up to be pretty good as well, but I'll not judge until I've played X.
I think I can give Gen3 an edge this time, even tough I like them all equally.