1 - I don’t think that would be possible since you can’t import one whole site in webflow; only bits of code.
2 - You can transfer a site to another account with at least a micro plan but it is only available if the original account has the professional plan.
Hi @Rui_Almeida, thanks for the message. You are correct, the public sites cannot be put on your profile unless you are in control of the site. We have seen this too, and are thinking of ways to handle this, as those public links allow anyone to view the designs, and perhaps the clients do not want that. At the moment, I would suggest putting links to those published sites in the description of your public profile.
I hope that helps and we are looking at ways to be able to share these kinds of sites also. Cheers, Dave