Are Pic pins normally LOW when the PIC is un-powered??

[Heckler]

Yeah, I have the PIC running off of 5V for Vdd.
I did the calculation for the LED current limit resistor to take into account the 12V (using a 2700 ohm resistor) for approx 5ma LED current.

I thought the PIC could just be a source of Gnd (LOW) when I wanted to turn the LED on.

I had assumed that the port pins would be in a High Impedance state when powered down, and until configured otherwise.
Guess I'll have to insert a transistor in the ckt to control the LED.

Anybody else had any experience with how the I/O pins behave when the PIC is powered down??

thanks