Yes, but you’re choosing from infrastructure at that point, not GoDaddy hosting vs Dreamhost vs HostGator. The choices of AWS vs Azure vs Google Compute are very different than working with static site hosting, which is what I assumed @anon14371845 was referring to.
No you can’t export a bubble site to another host. As other members mentioned you will have to use one of bubbles hosting plans. but of course you will use your own domain name.