I was diagnosed very late, so a lot of my social ways were already formed, and I never got any help after the DX, so to this day I continue to follow my own nose. Also, having had some great times with people when I was in my 20s, I soon came to the view that there isn't really much wrong with my social skills, and to this day when I don't do well in a social setting, I either blame them or (more progressively) blame the incompatibility between us, and feel that although they weren't exactly wrong for presenting me with a round hole, I wasn't wrong either for being a square peg. It's quite clear from my experiences that people can exist who are fairly compatible with my nature pretty much as it is, without any need for me to apply radical corrections to myself.
So I do see myself as having social skills, just that they're in some ways different from the ones that mainstream society might expect. I'm to a degree capable of coping socially with the mainstream, but to do that I tend to have to wear an uncomfortable mask and I tend to come away from such interactions with a feeling that we didn't really relate on much of a genuine level, and to some extent with a feeling of having been abused, although I'm not saying I think anybody out there set out to abuse me.
I'm not saying either that my social skills are completely adequate (even for getting on well with a group of people of my own choice), or that I have nothing left to learn. Far from it, but equally I think that the mainstream also has a lot to learn. But to me there are more important issues than trying to perfect eye contact, mastering the art of small talk, or any other superficial "skill" of that kind. The issues that interest me more than those are such matters as improving the depth of relationships, learning how to help each other more effectively, sounding out common purposes, figuring out how to work together, opposing competitive tendencies, finding ways of discovering how people really feel.
Maybe a good example would be if a group of people were playing this "game" where each has to pay lip service to some defined opinion. I can come over like a troll by just rubbishing the whole game and taking the opposite view, and invite nothing much but contempt, or I can lie my way through it to get a little bit of approval that I don't feel I deserve, or I can perhaps think of something reasonably tactful to say that might give them the idea that maybe it's better for people to just be straight with each other, and that if they give their honest, constructive opinions then they might learn something instead of just reinforcing their own prejudices.
I hope what I've said isn't too far off topic or unclear. Just that currently it's the best answer I can give as a late-diagnosed Aspie. I guess the summary is that yes, I think you can be autistic and still have social skills, but that the skills might be rather different (not necessarily any worse) - that for many of us the expectations of the mainstream neurotypical world might be too much to ever allow any great social success, and that we might do better to stand rather outside of "society" and to look more to the outliers. Normal isn't necessarily healthy.