Remove inquires? No. An inquiry is where someone has "requested" your credit report. They're not posting any credit history. Generally, inquiries don't affect your credit score. But I say "generally" because that's not 100% true. These third party requests from the joe blows that want to issue you a "free" credit card have no effect. But if you've applied for a car loan, the credit check by the lender will affect your credit score by a few points. It's no big deal.
What you're asking for is the equivalent of asking the public library to remove their records of all the books you've checked out over the last few years. Not gonna happen.