Yes, there were multiple ways to "shroud" things.
Some where physical and some were magical. These are shown throughout the Legendarium from things like telepathic communication to the effects of different kinds of magic, of which Sting was one. The fact that shrouding was possible was attested by J.R.R. Tolkien in "Unfinished Tales" in the chapter "The Palantiri."
A few obvious physical things were time and distance (sometimes shorter distances did the trick, sometimes longer). Tolkien mentions there was a metal or crystal alloy that could be used to encase a palantir and thus 'shroud' it.
That the secrets of how to forge Rings of Power were lost had to include the fact that not only were they not recorded, their forging was shrouded from palantiri, as well.
Things that were capable of shrouding a palantir could also be used to shroud the presence or orcs from the magical abilities of Sting.