The bike will make it fine. The rider may not.
Make sure that your tires are good, nearly new, especially the rear. The highway is hard on them on a long trip and you need to have sufficient tread all of the way to the end of the trip in case it rains. It might be a good idea to put on a sport/touring tire instead of the good soft stuff that we like so much for twisty riding. Avon 46 series is one with many good reviews for that duty and is what's going on mine for my trip.
Those bikes with the more aggressive riding positions are harder on you on the long rides but it can be done. I'm going to be riding to Los Angeles from Pittsburgh BUT on a bike that's a little more suited to that kind of riding. The seating position and bar placement isn't quite as aggressive AND I ride a lot, keeping those affected muscles in shape for that.
Stop frequently for a short stretch, AT LEAST every hundred miles, and avoid sitting in one position for very long. At least every gas stop, get a drink to prevent dehydration and wash down your face and arms to keep you feeling fresh. It may sound silly but it helps A LOT. Especially important if it's hot. Move around on the seat right from the start so you don't get stiff. Feet back, feet forward on the pegs, slide a little right, a little left on the seat. Lean down, sit up. Once you get sore, the only cure is a LONG break, like sleeping.
Also a throttle lock like Vista- Cruise or throttle meister so you can give your right hand a break. The vista-cruise is cheap enough and I actually prefer how it functions but takes some creativity to adapt to the newer sport bikes. At the very least, you can get a throttle rocker that just clips onto your grip and lets you hold throttle with your palm instead of with a closed grip. They are cheap, too and aren't permanent. Just snap it on when you want it.
Being 1,000 miles, you should probably split it into two days, 500 each. That will make it very doable IF you are in shape for riding and/or follow the break and positioning guidelines. Set the goal to maintain 50 MPH AVERAGE for the time out. If you are cruising at 70, give or take, that's easily attainable with frequent quick stretch stops and a sit down lunch break of about an hour. It's easy arithmetic, too. You will accumulate reserve all morning, being ahead of your 50 mile average, and then burn it up at your lunch break, an important rest for the balance of your ride.
Fifty miles for every hour means 10 hours out for the 500 you're doing. On the road at seven, destination by 5:00. Shower, sit down for a nice dinner and an evening of relaxing. Take in the local sights and then a good nights sleep. Back at it in the AM. That's the general plan I use and by pacing the day you're able to monitor your progress which is easier on you mentally. You can see your goal being accomplished and know there is an end in sight.
If you stick to a plan like that, you'll make it fine. Leaving even earlier can be nice but the point remains the same. Even if you need more breaks, you can still be off the road by dark, an extra four hours if you need it. Good luck.