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Yes, groups 17 atoms can form double and triple bonds, depending on the element it is bonding with. Iodine only needs one more valence electron to complete its octet, however, it has the ability to expand its octet so it is possible for Iodine to have more than a single bond. I believe all group 17 elements can do this with the exception of Fluorine.
For example, look at the Lewis structure of ClO3-. Cl forms two different double bonds with oxygen. However many times in fact group 17 elements in Lewis structures don't have double bonds. This is just due to the fact that having an octet allows the halogen to have a formal charge of 0. However this is not a set rule in any way.
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