If Undertaker is Ciel's grandfather, could Ciel have any supernatural abilities?
Inherited abilities from granddad?
Either or both twins could, yes. I'd like to think that our earl's abilities would be stronger than real Ciel's. Like... sure, he's got asthma from his mom... but he's also got something special from the paternal grandfather.
Well, in ch103, our earl responds to Sascha saying his last name. Like he gets a chill and immediately turns to look where the reapers are supposed to be invisible. Sebastian can't even see them, at least not at first. But when our earl turns to look, he can see them, and they are surprised. If they hadn't mentioned his name or the family name, he might have never felt their presence at all. But it's still telling how that gives him a sensation and makes him look right at them. So, I'd say that is a trait he has acquired from grandpa....
And ch108 shows what could either be a reaper trait or simply an identical twin thing: sort of temporarily jumping into his soulless Bizarre Doll twin to see Undertaker by the bedside. Of course, we don't know what Undertaker was administering to real Ciel, but I have a feeling our earl and Ciel have a special twin connection, even though real Ciel's soul has been devoured. Also keep in mind that our earl wakes up to find Sebastian by the bedside, and he is the one who devoured that soul. Reminds me very strongly of Lucas and Claus in Mother3, since the mirror twins in that also make a psychic connection to each other without even trying... after the older mirror twin, Claus, was killed and turned into a Fascinating Chimera. Once he was turned into a Fascinating Chimera, Claus was referred to as "heartless" by the Magypsies (game's parallel to the reapers). So, the psychic connection only required minds, not hearts or souls. Could be the same thing here: our earl is connecting to real Ciel's mind alone.
But even if the mental connection thing isn't a reaper trait, seeing reapers who are trying to remain invisible probably is.