We should expect that there will be at some point winning lottery ticket floating in space.
I don’t think we should expect to see them, though, because they are probably very far away in time and/or space.
Also the concept of a winning lottery ticket would seem to require the existence of a lottery game, which would seem to require some sort of society to play it. We are probably not the minimal working example of a society that is able to invent a lottery, but I bet that society is closer to us in complexity than it is to a scrap of paper.
The point of the Boltzmann brain is that it's spontaneous (which is also what makes it impossible). If a billion years of slowly ratcheting up complexity counts as a "random fluctuation", then every brain is a Boltzmann brain.
I don’t think we should expect to see them, though, because they are probably very far away in time and/or space.
Also the concept of a winning lottery ticket would seem to require the existence of a lottery game, which would seem to require some sort of society to play it. We are probably not the minimal working example of a society that is able to invent a lottery, but I bet that society is closer to us in complexity than it is to a scrap of paper.