Civil Docs complete, still able to do a trip to CA with VWP?

[SoCa]

Hi guys,

I need your advice so bad. I hope you can help me out.
I am waiting since Dec. 09 for getting my GC and my civil docs are almost complete.
But that would mean I would have my appointment at the Consulate in 2 months about.

I am away from my gf ever since I left and I can't take it anymore to stay away from her. So I'm considering to use my VWP to visit her for a few weeks, till my appointment letter comes.

But I heard I might get problems at the POE, if they would know that my case is current right now.
And they would reject me there. Plus that would have a tremendous effect on my eligibility for the GC at the day of the interview.

Is that true guys? I would really appreciate any helpful information. I'm really so desperate and sick of waiting.