If i got a virus on my iphone, could it travel through the Wi-Fi into my computer?

At my home i have Wi-Fi, and my father runs his business from home with all his computers connected to it. My moms and brothers laptops are also connected to it but because my laptop broke, all i'm stuck with is my iPhone. My father is reluctant to allow me and my brother to use the Wi-Fi at home for our iPhones claiming that if our phones get a virus, it can travel through the Wi-Fi and compromise all the work he has been doing for 8 years. I understand where he is coming from but honestly it sounds a little bit too far fetched to assume our phones would be the downfall to his whole business.

It's possible. Be careful.

You won't get one on your iphone, they are really secure and all code from the appstore is reviewed before it can even get in there (which is great).