Is it possible for my iPhone to have a virus?

I keep receiving this notification everytime I open safari on my iPhone 6:

"Can't Verifiy Server Identity
The identity of dsv2.rotator.hadj1.adjuggler.net can't be verified by Safari. Review the certificate details to continue."

It then gave me the option to cancel, view details, or continue. I've pressed cancel most times but this time I pressed to view the details and when I did it said "Issued by Go Daddy Secure Certificate…"

I have closed now closed out all of my tabs thinking it may stop.

Why does this keep popping up and what is it?

Safari normally opens up the last visited page so it may be that page that is causing this to appear. If it continues to do so, maybe it is your ISP. Hacking Iphones, as long as they are not jailbroken, is not simple but not impossible.

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