Sure, connect Gnd to Gnd, Rx to Rx, Tx to Tx, DTR to DTR, +5 to +5.
(maybe Rx to Tx, Tx to Rx).
Arduino uses an Atmel AVR; PIC comes from a different company.
oke its been sometime ago but in the mean while i got my self the arduino ethernet and a fake arduino uno.
but i succeeded to program my old UNO with the usb2serial.
and the trick is to remove the reset wire and just hold down the reset button upload the sketch until you see the free space screen then you release the reset button and everything works great..