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IS there a way he can get into my computer or IP if I just turn on the computer?
No. It is a scam. They would have directed you to a website to download and install a remote control program so they'd get access to your computer or other malware of some sort. No one will ever call you like that about computer problems. They are all scams. Just hang up. If you're feeling mischievous you can string them along for a while like I did a few years ago.. Just don't give them ANY real info and pretend to do what they tell you to do.