Likely not but it could be done. LED's don't dim very much and what you're trying to do is run them dim and then cause them to brighten as you turn. It might be possible but you'll not likely see the dramatic effect like a light bulb. Light bulbs run two filaments in the globe with the second one adding more light for the turn indicator. With the LEDs you could run two resistors - one providing some lower voltage for the always on with parking lights and a second to provide brighter turning indications. The easiest way to do that is to connect the LED assembly up to a variable power supply and watch the dimming effect - then do the math to make a voltage dividing network to connect to the parking lights. You'd also need two diodes so that the parking light voltage didn't feed backwards into the turn signal circuit. A second voltage dividing network would give you full brightness while turning. The ***** is that what works for one model and color of LED isn't going to work on the next - tuning them on a variable voltage source like in a lab is the quickest way to get it right.
If you added more LED's to simulate the effect of the second light bulb filament you'd see the extra dots lighting up and going off with the turn signal. Much simpler but not as bling.