Yes and no. BSA scopes fit on a couple of grooves machined in to the top of the air chamber. These grooves don't exist on the BB but you can get blocks that have the grooves on and could glue or otherwise fix this block on the BB then the BSA scope would fit.
Your question referrers to BB Guns not BB Rifles. Daisy currently makes about 9 different models of hand guns. ( see the link Below ) when it opens, click on each handgun and then open the (Click for specifications ) under each pistol. it will tell you if it is Scopeable. Some of the pistols fire Pellets & BB's.
Simple. No one makes them for BB guns.
The Airsoft scopes are scopes for the airsoft guns (also refereed to as BB guns) are most famous for their accuracy when shooting. They can also be quite expensive.
If you are asking about Daisy BB guns not rifles or any other brand made by Daisy. then I would have to say the Daisy powerline models 5502 and 5503 are the fastest Daisy BB guns at 430 FPS. The Daisy 880 and several other models reach 750 FPS. But these are rifles not BB guns like you asked in this questiion.
I don't think it's a problem for the BSA to fit any rifle provided it has a 'Scope Rail" on the rifle. I think the problem is which model Daisy are you asking about. If it's a Red Ryder or a Buck, then NO because neither of these BB rifles have scope rails on them. If it's any of the Daisy Powerline models or Daisy Winchester models then "Yes" they have scope rails and will take any Scope. However, a scope made for a rifle may not focus closely enough, nor adjust to the point of impact of a BB gun.
BB's are all the same size .175 for all the BB guns.
Manufacture names of BB guns: Gamo, Crosman, Umarex, Daisy and others To see the names used on BB guns See the link below
Daisy has been making BB guns sense 1898. You need to be more specific about the model you want
Most daisy bb guns are made in China, with a few exceptions. Their Avanti line is built in Rogers, AR, and most of their CO2 pistols are made in Japan.
Daisy did not invent the BB gun. Hamilton made the first Daisy model in 1895. , but BB guns were around long before that. Lewis and Clark carried an air rifle with them on the travels to the West and the Austrian army had air rifles as early as the 1500's
Daisy has been making BB guns sense 1898. You need to be more specific about the model you want to know about.
Daisy has a web page to help you determine the value of old BB guns. See the link below.