Hell no. Sydney has no supernatural powers; even if you normalize her abilities with, say, Buffy, Sydney is kind of dumb and loses quite a lot of fights, gets captured a lot, etc.
Even better!
I just read that it was her on that silly MTV morning show way back in 1990, Awake on the Wild Side. I remember watching that show and, Holy Crap!, that was her!
Actually, I suspect that none of them can. River claimed to, but she’s never shown any ability to. Obviously, it was either semi-crazy ramblings, or a carefully chosen lie made to intimidate Jayne.
Unless, of course, you mean ‘killing you through intelligent fighting and cleverness’, in which case all three can.

Sure, if you’re talking Alan Shore from Boston Legal. Now if you’re talking Alan Shore from The Practice, it would be the other way around.
Chloe vs Cuddy? Cuddy kicks some serious ass, baby.
House vs Bauer… well… we all know which way THAT would go. Bauer, hands tied behind his back. He’s the Chuck Norris of the 21st century. Sheesh.
… I’d also like to see…
Detective Eames vs Doctor Brennan (I would love to see wee Kathy Erbe kick Miss Deschanel’s ass.)
Detective Goren vs Special Agent Booth (while we’re pitting partners versus partners…)