I'm not quit sure what your intentions are. Are you wanting to make bowls on the scroll saw? If so, no problem.
But, if you are turning bowls on a lathe and then wanting to do scroll work on the bottom of the bowl or around the lip....."Houston we have a problem".
It depends on how deep the bowl is. If it is 2" deep or less and say 8" diameter, you may be able to do some cutting on the bottom but, the edges are going to be tough. More than likely you will need to use spiral blades so that you don't have to turn the work piece under the upper arm. Or maybe if you remove the table and cut the edges from outside of the bowl and let the bowl hang down over the front but, still you will need a support of some sort to rest it on while you do the cutting.
If I'm understanding what you want to do correctly, you might just as well get a hand powered fret saw and clamp the bowl in a vice to cut out around the edge or lip of the bowl.
Please correct me and explain a bit more about what you are trying to do. Not only I but, there are plenty of folks willing to help with anything scroll sawing related on this forum.
Rog