The minimum grammatical correction would be: Can I have your profile to look at ? g. what form does this "profile" take, and what does it entail for you to "have" it?
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The minimum grammatical correction would be:
Can I have your profile to look at?
I cannot be sure whether this wording is correct for your situation without more context; e.g. what form does this "profile" take, and what does it entail for you to "have" it?