Normally I’d say there will be no problem at all. I drive from Sacramento which is 20 miles/30 minutes further away and never even considered the possibility that I would have a problem getting up there. (Of course I’m charged to 80-100% - estimated 263 mile - 328 mile range - when I depart).
However this will not be the standard Tahoe snowfall. Estimates are for 100” of snow over the next 7-days. Coming from LA I’m sure that you don’t have snow tires (which are very desirable up there when conditions are challenging). Generally, if the roads are open, as a 4-wheel drive you won’t be required to put on chains. If they’re requiring chains on 4WD vehicles (extremely unusual) then you REALLY, REALLY don’t want to be on the road. They almost always close the road before doing that.
The biggest concern is that the road (Highway 80) is sometimes closed by Highway Patrol because of accidents, zero visibility or other really dangerous situations. Do NOT try to be sneaky and find a short cut or a way around. There really are none and people run into MAJOR, sometimes life threatening problems trying to do so every year.
If the road is closed you may be sitting there for many hours/overnight. I always pack a down sleeping back in the car for exactly that reason. If the road is closed and you’re forced to exit the freeway you can always go back to Colfax. I had to do that last year and discovered a pretty good pizza place. Eventually I went further back and stayed overnight with a family member and headed back up to Tahoe the next morning. It was a very smart decision.
You REALLY don’t want to drive to Tahoe your first time in a storm at night, unless your night vision is perfect. And even then, I wouldn’t wish that on my worst enemy. If you can possibly do the drive while it’s still light out you will be a lot happier and safer. If you can leave Rocklin by 1 pm, or 2 pm at the absolute latest that would be good. Traffic leaving Sacramento for Tahoe starts to get moderately heavy after 3 pm. When I’ve been to the service center in Rocklin the charging stations are generally quite busy. Remember, everyone else driving up from the SF Bay Area has the same plan to charge in Rocklin.
Good luck. I have a house in Truckee and plan to stay in Sacramento until most of the snow has fallen and the roads are clear. Also be aware that the mountain might not even be open after a huge dump for a day (rarely two) and that high winds often shut down many of the upper lifts. I don’t mean to be so down on what you’re attempting- hopefully you’ll sail through without difficulty- but this is going to be a REALLY tough time to be driving up there. In Sacramento, it is windy and frigid out right now. It feels like a normal Tahoe late afternoon and that is most unusual for here.
Winter is coming!