Hi DeEdra!
I’ve backpacked overnight up San Gorgonio several times. October and November are the “shoulder season” which means the weather can be unpredictable. You can use Mountain Forecast to get an idea of what the weather will be like on the summit. Right now snow showers are predicted for this Friday morning! https://www.mountain-forecast.com/peaks/San-Gorgonio/forecasts/3505
November CAN be wonderful, but almost certainly be cold at night (and possibly during the day as well). Keep in mind that daylight savings time ends in November, and the days are much shorter.
All that being said, I’ve camped at High Creek. I setup my tent for the night, then carried a lighter pack to the summit in the morning and hiked all the way out on Day 2 (stopping to break camp). There is usually some water at High Creek, though filtering or other form of purification is always recommended.
For overnight permits on San Gorgonio, start here and follow the prompts: https://permits.sgwa.org