If you stay with the hiring team for a reasonable amount of time (one major project, several major updates, 4 years, something like that), it's certainly reasonable after that to move on to another product/project/division/whatever.
You'll want to work with management in both old and new departments to coordinate the timing of the move and make sure someone in the department you're leaving has captured all the knowledge about that product which you have and others may not. Expect to be on call for some number of months after you move to help with that transition.
Be aware that internal hiring is not always easier than external, depending on what the hiring group is looking for and what the relationship between the two groups is. Internal job change difficulty tends proportional to how many steps up the management tree you have to go to find someone who is responsible for both.
And remember that even Internally you need to pass the interviews and show that you have what they're looking for. You do bypass the layers which can only say no, but you still need to get people to say yes. If this is really your plan, you should try to excel in the first assignment so folks want to bring you on board for the second. If you aren't going to be excited enough by tje first assignment to do that, the move becomes harder. It's almost never a good idea to take a job you really don't like in the hope of upgrading; it's ok to take one that isn't perfect in the hope that the perfect job opens later.
And who knows; after you've been in this job for a few years you may decide it's a fine place to stay for a while longer. Or there maybe a reorg or a new project which changes everyone's plans. Long term planning is a good exercise, but life is what happens while you were making plans.
(I was tempted to find out if the Watson group could use me when they started scaling up. But i'd changed assignments recently and felt I owed my current group more time to pay back their investment in me. Besides, Watson would probably have wanted me to move to NYC, and I'm pretty happily rooted where I am.)