The pico psu you're considering (150W) offers 6A on the 3.3 and 5V rails and 8A on the 12V rail. This is conditional on the surface of the psu remaining below 65 degrees and you not drawing this all the time, take a third off the ratings for 24/7 use.
This probably means no, but you'll be fine if you don't use the graphics card. Perhaps someone will have tried it and found otherwise though. I'm interested in the 200W pico psu, I didn't think these existed. Do you have a link to the specifications of one?