I clicked a link and I feel my iPhone is now hacked into

Unless you have jailbroken your phone or you are a high-profile activist/journalist/politician on whom it would be worth someone to spend millions of dollars to get into your phone, no, your phone has not been hacked.

Generally speaking, just clicking on a link isn't going to cause a problem. The problem would come if you then gave the website that personal account information. Did you do that?

No, your partner is wrong, at least where iPhones are concerned. My only concern is if your partner has had access to your phone while it was unlocked and they jailbroke your phone (it would take more than a couple of minutes). In that case, your phone could have been compromised. However, it still doesn't mean that any information has yet been stolen. If you think they may have done that, restore your iPhone to factory state, not to your backup. Change your iPhone passcode and your Apple ID passcode. And then change partners.

Restore your iPhone, iPad, or iPod to factory settings - Apple Support

Then your phone has not been hacked.

..Hacked411:

Even though you may recognize and get an email or text from someone you think you know

there are scams now so clever that spoof, or clone someone else's email or text.. And then if

you click-on those, you're not even close to who you thought it was.

• Recognize and avoid phishing messages, phony support calls, and other scams - Apple Support

//support.apple.com/en-us/HT204759

• Spoofing | What is a Spoofing Attack? | Malwarebytes

https://www.malwarebytes.com/spoofing

(You may have opened message, email or text, not from anyone you know, at all.)