Yes!

Okay, so first and foremost, I am going to recommend you at least speak to a FAMILY NURSE PRACTITIONER or someone else who has medical licensing.

Second, I can tell you that although I'm not a licensed physician, NP, or PA, I work at Planned Parenthood with many of these folks, and I hear this concern often.

1) A very high percentage of the population has HPV, and many of those people never have symptoms. The issue with Sexually Transmitted Infections and an IUD is that you have a string hanging into your vagina, which is a direct line to a sterile organ- your uterus, so if you get chlamydia or gonorrhea, then you have a higher change of getting Pelvic Inflammatory Disease. Easily prevented by a) using condoms, b) having a partner that you trust or c) both.
HPV is a virus, can cause genital warts, and can cause abnormal cell changes on the cervix, so...

2)If you have HPV, which such a high percentage of the population does, it's not *generally* an issue to get an IUD. What I've talked with the clinicians about is this:
If you have to have any kind of cryotherapy, LEEP, or cone biopsy on your cervix due to a HIGHLY abnormal pap smear (usually CIN II or III, not just a minor abnormal), then your IUD has to come out.

This sucks for two reasons:
a) it's not pleasant to get an IUD inserted, and b) they're about $400 (unless you're uninsured and go to PP, where they are usually free or low-cost).

For these reasons, medical clinics will often require a normal pap for the past year. Some places will still give you one if you've had a CIN I or an ASCUS.

You can have a colposcopy done and still keep your IUD in. HPV isn't what people worry about causing Pelvic Inflammatory Disease (PID), it's more the bacterial infections that are of concern. I know a LOT of women who have tested positive for HPV or have been recently treated for warts who have IUDs. I see them daily.

Again, remember I'm unlicensed, and you should talk to your doctor or an FNP. Keep in mind that the old-school mentality is that women who haven't had kids shouldn't have an IUD, and the more progressive mentality is YES! Give IUDs, they're great forms of birth control!
PM me if you have questions. I'm on infrequently, but I'm on.
Hope that helps.

PS, I have a Paragard and I love it... although I still feel it from time to time. I've had it for 4 years.