Using a green led, with a Vfwd of 2.1V will, with leakage current will pull up the HiZ input of the PIC to 3.6V.
As the Vmin high is 2V, the PIC easily sees the 3.6V as a logic high.
This method is frequently used without problems.
I would agree with Brownout, if the OP is concerned, for the price of a 0.1p resistor leave it in the circuit.
EDIT:
To confirm this, I have just tried a it on a PIC input and it does pull up to 3.5V, which the PIC recognises as a High/