Yes you can. Once you have purchased your domain name you will need to complete the following 2 steps:
1. Please ask your domain name provider to make the following DNS changes:
www record: Point as a CNAME entry to 'cdn.sitemakerlive.com.'
Root or '@' record: Point as an A record to 126.96.36.199
NB: for the www record you can user either 'cdn.sitemakerlive.com' or your default Moonfruit site address (yoursite.moonfruit.com), the result will be the same.
2. Add your domain name to your site. From the Toolbar, select 'Admin' > 'Site address' which will load the 'Admin' panel. In the 'Site Address' tab enter the domain name in the last text field provided and then click 'Add'. You can have up to 3 additional addresses for your site.
You may have to wait for up to 72 hrs for the change to take effect. If in doubt after this period, double check with your domain name provider that they have 'pointed' your 'A-record' and not just forwarded your domain. By pointing your domain name to our servers and adding it to your Site Addresses as instructed above, your site will be indexed correctly by the search engines and you will minimise problems with many features, especially PayPal.
NB. Please ensure that you check before purchasing that the domain name provider permits you to change your DNS A-record. You must be allowed to 'point' your A-record to our webservers. If they cannot provide this service then you will need to find a domain name provider who does allow 'pointing'.