Yes, but it would be ridiculously expensive and impractical because most of the facilities have been demolished / repurposed and it would be difficult to get the existing orbiters out of museums.
Fortunately, there are 2 games in which you can fly one yourself, Orbiter and Kerbal Space Program. I’d recommend the latter because you can actually build them yourself (or if you’re lazy, download a mod to have one for you).