Not from within FA itself, but you can have a cron job (or a "scheduled task" if you're on Windows) do it easily enough.
Below is what I run on a Linux server.
#!/bin/bash
url="http://hostname.domain.tld/"
cd "$(dirname "$0")"
curl -s -c my_session -F 'user_name_entry_field=backup' \
-F 'password=secretpassword' \
-F 'company_login_name=0' ${url} >/dev/null
curl -s -b my_session -F 'creat=Create Backup' ${url}admin/backups.php \
| hxnormalize -l 240 -x | hxselect -s '\n' -c '#msgbox' | hxselect -c div
echo
rm my_session
The script uses curl to log in as user "backup" with password "secretpassword" and "clicks" the "create backup" button for you. The "hx" stuff is there to select out the interesting parts (success/failure status messages) from the server response. Just remove that line if you don't want it.