Maybe, but probably not.
First thing, you have probably already figured out that the 0404PCI disagrees horribly with ASIO4All.
Uninstall ASIO4All. Its mere presence disrupts the otherwise very good ASIO drivers for the 0404.
It's been a while since I used my 0404, so I'm working from memory. But try this.
After you have uninstalled ASIO4All, go into Patchmix, and set it to a 44.1 template(session?).
Set Windows Sound to use the UCA200 as the default device.
Then insert a WAV strip in Patchmix. You may need to insert a send in the WAV strip for Sonar to see it as an input.
Now open Sonar, and set the driver mode to ASIO. If all goes well, you should see the normal ASIO inputs from the 0404, as well as the wav input. The wav input may be subject to additional latency, as it is being processed by the UCA before it gets to the 0404.
I loved my 0404, but it is in a dead PC, so I can't verify if this will work. But it's the most usable approach I can think of using that hardware combination.
Ultimately, you may need to consider one of the more current USB interfaces available.
I am using one of these:
http://www.sweetwater.com/store/detail/EIEPro/and it has proven to be a surprisingly good and versatile unit.