I have a website to which I have FTP access only (otherwise I'd use rsync for this) and I'd like to keep a local copy of it. At the moment I run the following wget command every once in a while
wget -m --ftp-user=me --ftp-password=secret ftp://my.server.com
When there are many updates it does get tedious with wget only having one connection at a time. I read about aria2 but couldn't find any hints as to answer the questions whether it would be possible to use aria2 as a replacement for this purpose?
No, according to the aria2 docs the option for downloading only newer files only works with http(s).