Can I build a website on a website builder and move it to my own host?

No. Unfortunately it just doesn't make technical sense. Website builders bring together several technical aspects of web design: web hosting, databases and themes. Bringing these technical aspects together makes it easier for the user but makes it unrealistic to import and export websites. (This is why I'm so critical of companies that acquire website builders and then abandon the website builder— it strands thousands of websites!)

Steve Benjamins I founded Site Builder Report in 2012 in order to help people choose the right website builder. I also make music (you should check it out!). You can also follow me on Twitter here.