True, but you need braze or silver solder to have any strength, and this needs a higher temperature. It would be better to get the ferrule off first.
I'd replace the ferrule anyway. Plenty available on eBay. I have a modest selection, and would be happy to send you one if I have the size. I can't quite see how the chisel is fitted - you might need to get it out of the handle and fit the ferrule before the chisel is re-inserted. And you might need to do that in order to measure the internal diameter of the ferrule.
They are not difficult to replace. Get the chisel out of the handle and find the diameter of the ferrule - the replacement should have a chamfer on the inside edge to help you get it on. G&M Tools - Search Results ferrules are good if you can't find a single one.
Brass is easy to silver solder or braze, but you'd get it far too hot to do it on the handle, and realistically it has split because it's thin. It would still be thin after you'd soldered or brazed it.
If its just replacing that ferrule, you can probably do it yourself if you can find a replacement of the same size. The handle will have to be removed from the tang which you should be able to knock off with a hammer and a block of wood.
Thanks Woody that’s brilliant, thank you for selection of sizes, mine eg 3/4 x11/16. It doesn’t say but I would presume that the first measurement is the diameter? If so that’s exactly what I want. Cheers