I am forced to agree with Ahmed_btm that "Does any of them" is technically grammatically possible, even though I don't think I've heard a single person say it in my entire life as a native speaker of English. The topic came up recently here:
The natural choice is "Do any of you." When a plural count noun follows "any of," the natural number for the verb is plural, even though the singular verb is possible. Incidentally, I recommend changing "wish to contest for president" to "wish to run for president." From Google books:
"to contest for president": 2
"to run for president": 169,000
On COCA, there is not a single result for "to contest for president."
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