Well, I have done that before, but I wouldn't recommend it.
Back in the 'old days' as Cadets, we were racing on Favorit Specials shod with Barum Kriterium or Warszawa-Berlin-Praha tubulars. Back then, we had to repair our tubulars ourselves if we ever got a flat, but we could never get the basetapes to stick-back on property. Rather than risk having the basetape separate from the rim and roll the tire, we just re-glued them without the basetape. Needless to say, that made repairing a tire a second time much more difficult.
I remember that my biggest concern at the time was whether the glue would be secure enough without the smooth surface of the basetape. Turns out that it worked just fine, at least with the old Clement 'red' glue that we used. That stuff cured as hard as a rock.
Today, we know better. If we have to pull-up a basetape now, we have carpet adhesives, etc. that will do a hell of a job sticking the basetape down properly, together with proper clamps that will allow a strong bond without damaging the tube inside. Too, it is possible that if you remove the tire again later, you could damage the stitching of the casing on other parts of the tire.
`Barum' that's a name from the past, I think the old Holdworth catalogue used to list them in the 1970s. I used to re-glue base-tapes with Evostick contact adhesive.
Edit: I should add I used Evostick over 30 years ago, there should be much better glues now for this job.