Rear derailleur, no problem. Front derailleur, nope, unless you get one of these: http://jtekengineering.com/shiftmatestraight.php

Edit: Or an inline barrel adjuster would work too.

Going with bar-ends would be cheaper, and since the front is friction, would not need the shiftmate. I've got a set on my Nashbar, and there might have been a slight adjustment period, but now they feel totally natural.

If you go with STI, get Sora ST-3500 instead on ST-3400.