Will an engineering degree from OSU get me a job in big cosmopolitan cities l?

I’ve been living in Ohio all my life , and I’ll be aattending college here as well, but I’m sick of living in a ohio , and preferably I want to move to a bigger city like NYC, Boston, Seattle, Chicago and the Bay Area. I’ll be majoring in Computer engineering if that helps. I really don’t wanna stay in Ohio anymore after I graduate and preferably move to a bigger city , or abroad if it’s possible that is