No. Either you have a raging infection of some sort, rare immunosuppressed or a false low reading on the hematology analyzer.
One episode of binge drinking doesn't bring your white blood cell count down. I would have this investigated further by your family physician. In the meantime, since 80% of your immune system is in your GI tract, I would loo into healing that while you are waiting for the results of further tests. www.gapsdiet.com will help guide you through this process. Don't be fooled by the title of the book. There is a second book that is being written by the author titled: Gut and Phsyiology Syndrome and it will follow the same protocol outlined in the first book. My son had low white blood cell counts when we first started the diet and they are now normal six months later. He was found to have Lyme Disease but the diet cured his immune system and he was then able to fight the disease within three weeks. His next set of blood work showed he was negative for Lyme Disease. I am not saying you have Lyme Disease, nor anything else as serious, but please do take this as a warning sign and take action now to prevent further serious illness.