Nah unlikely. OK if you do get that login let me know and we can move you like this:
1) Access the cPanel and download all your files/databases, emails on the server cannot be shifted sadly.
2) Open an account with us and copy everything up to our servers
3) Create your email accounts on our box
4) Update your domain name servers to point at us
The critical part is getting your files and databases, the rest is easy. The only thing you would need to do is provide me with the login info and I'll do the rest
You can move between the plans at any time but you should be OK to start off on the Home/Business plan. In terms of time, if you can get the login info, it would take me about 30 minutes to copy everything over then up to 24 hours after you update the name servers for users to see the site again. Could be less than that though...
Nicely done Phil! Just an idea, move the DNS asap to www.zoneedit.com, it gives you control over the DNS now, and as someone pointed out keeping them separate can be a good idea. Also means you can get started on the DNS now before the hosting is accessible. From changes I've made to DNS it also seems to be VERY quick for updates from zonedit to spread around.