The Collaborative International Dictionary of English v.0.48:

Wrap \Wrap\, v. t. [imp. & p. p. Wrappedor Wrapt; p. pr. &
   vb. n. Wrapping.] [OE. wrappen, probably akin to E. warp.
   [root]144. Cf. Warp.]
   [1913 Webster]
   1. To wind or fold together; to arrange in folds.
      [1913 Webster]

            Then cometh Simon Peter, . . . and seeth . . . the
            napkin that was about his head, not lying with the
            linen clothes, but wrapped together in a place by
            itself.                               --John xx. 6,
                                                  7.
      [1913 Webster]

            Like one that wraps the drapery of his couch
            About him, and lies down to pleasant dreams.
                                                  --Bryant.
      [1913 Webster]

   2. To cover by winding or folding; to envelop completely; to
      involve; to infold; -- often with up.
      [1913 Webster]

            I . . . wrapt in mist
            Of midnight vapor, glide obscure.     --Milton.
      [1913 Webster]

   3. To conceal by enveloping or infolding; to hide; hence, to
      involve, as an effect or consequence; to be followed by.
      [1913 Webster]

            Wise poets that wrap truth in tales.  --Carew.
      [1913 Webster]

   To be wrapped up in, to be wholly engrossed in; to be
      entirely dependent on; to be covered with.
      [1913 Webster]

            Leontine's young wife, in whom all his happiness was
            wrapped up, died in a few days after the death of
            her daughter.                         --Addison.
      [1913 Webster]

            Things reflected on in gross and transiently . . .
            are thought to be wrapped up in impenetrable
            obscurity.                            --Locke.
      [1913 Webster]

WordNet (r) 3.0 (2006):

wrapped
    adj 1: covered with or as if with clothes or a wrap or cloak;
           "leaf-clothed trees"; "fog-cloaked meadows"; "a beam
           draped with cobwebs"; "cloud-wrapped peaks" [syn:
           cloaked, clothed, draped, mantled, wrapped]
    2: giving or marked by complete attention to; "that engrossed
       look or rapt delight"; "then wrapped in dreams"; "so intent
       on this fantastic...narrative that she hardly stirred"-
       Walter de la Mare; "rapt with wonder"; "wrapped in thought"
       [syn: captive, absorbed, engrossed, enwrapped,
       intent, wrapped]
    3: enclosed securely in a covering of paper or the like; "gaily
       wrapped gifts" [ant: unwrapped]

Moby Thesaurus II by Grady Ward, 1.0:

59 Moby Thesaurus words for "wrapped":
   absorbed, armored, cased, ceiled, cloaked, clouded, coated,
   compassed, coped, covered, covert, cowled, curtained, deep,
   eclipsed, encapsulated, encapsuled, encased, enclosed, encompassed,
   enfolded, engaged, engrossed, enveloped, environed, enwrapped,
   filmed, floored, hooded, housed, immersed, lapped, loricate,
   loricated, mantled, masked, muffled, obscured, occulted, packaged,
   paved, preoccupied, rapt, roofed-in, screened, scummed, sheathed,
   shelled, shielded, shrouded, surrounded, swathed, tented,
   under cover, veiled, walled, walled-in, wrapped up, wreathed