Can I switch my iphone 5 from Verizon to sprint?

Verizon is expensive and have a lot of hidden fees and I use up a lot of my data because I'm always on the Internet so my friends say switch to sprint because they have unlimited everything and they're cheap (we have a family plan of three which equals $190-$200 while my friends are $100-$150) but can I turn off my phone and have sprint turn it on or do I have to buy a new one? That's not a problem if I have to buy one though

No, they're not compatible. You will need to buy a new phone from Sprint.

Nope. They will not be compatible. Sorry.