Yes you can.
All you need to do is to create an additional 'default publish' for the data pool which publishes to another target.
To do that, publish to the target you want to add an option for, then in the file->'Maintain Projects', right click and select 'edit data pool properties' and go to the 'Default Publish' tab and hit the plus button.
Select the most recent publish, (the one to your new target) and hit the tick icon. Give it a name which identifies it by target.
So here I used to have just one default publish 'new' which published to oracle, now I have another which publishes to SQL Server:
Now, when I fill out my TDoD form, when I hit submit it will prompt me, asking which default publish I want to use, which essentially means it's asking me which target to use:
So now you can essentially just add default publishes as you like for all of your various targets without having to change the form.
Have fun!