Can I turn off my LTE data and use 4G without LTE?

I have a verizon wireless iphone 5s and I see people with AT&T iPhones where people have 4G but not LTE I was curious to know if it is possible to turn off LTE and still use a slower version of 4G data?

No its only possible through jailbreak

In your settings try general->usage->something like data or cellular data->and there should be an LTE toggle