Yes, the bike can do it if you can. Several have. However, you're talking about riding at the pace and almost the distance required for an Iron Butt Association "50cc" certification (coast-to-coast in under 50 hours). This is not trivial! Unless you already know how to ride at that pace for that long, I would suggest allowing a lot more time -- Google Maps assumes about 70 MPH across the whole route (I guessed at San Francisco for the destination) which does NOT account for the time you'll spend sleeping, eating, or getting gas. If you're spending 8 hours a day actually moving down the highway (out of about 10 hours from start to stop, which is about 500 miles per day), it will take you six days, not two.
Worst-case fuel range at highway speeds is approximately 160 miles; expect to stop for gas every two hours. The stock rear tire usually lasts about 8,000 miles, fronts twice that, and the transmission belt at least 50,000. (See your owners' manual for other service intervals.)
So, replace the rear tire (but save it to put back on when you get back -- you'll have worn out the new one on the trip), change the oil and final drive fluids, and get the valve clearances checked if they'll come due while you're on the road. Check the transmission servomotor stopper bolt for wear and replace it if needed. Get the oil changed again when you get to your destination in California, and one more time when you get back home. That's about it for what the bike needs.