Unwrap: To remove something from its wrapping.
Rewrap: To wrap something again after it has been unwrapped.
Overwrap: To wrap something with an additional layer.
Prewrap: To wrap something before it is used or processed.
Enwrap: To wrap something completely, as in "He was enwrapped in a warm blanket."
Interwrap: To wrap two or more things together.
Underwrap: To wrap something underneath another layer.
Miswrap: To wrap something incorrectly.
The best prefix for "wrap" will depend on the specific context and the intended meaning.