Yes you can, with a good resin. I use Plastibond here in Oz. It's a bit like semi-liquid putty with a separate hardener.
1. Clean edge of fins but don't file smooth. Clean thoroughly with thinners two or three times. You can if you want sandblast first as you have to repaint.
2. Drill holes in broken edges of both fins either side, so that they roughly line up. Drill 1 mil. or 1/32 holes in about 1/4 inch if possible. Then get wire to fit in holes, making sure the wire is in the centre. Araldite the wires into the holes.
3. Put piece of plastic under bottom of fin (if more than one fin, one at a time). I use old ice cream tubs, as this does not stick and this saves a lot of time in cleaning underneath. Then fill with putty. You may have to do this a few times because of small holes, etc. until satisfied.
4. Respray and bake in oven to 180 C from cold for half an hour, let cool down slowly. Leave door of oven open as this stinks. Wife may not like this as it does linger.
The only way you can tell the difference is by running a fingernail up the fins. You get ping clunk ping. Never had any trouble with this arrangement - takes heat and doesn't crack. If rough-cast, use a little sand in paint and brush on, then spray. This saves you having to re-bore after welding.
Hope this helps,
Regards, Geoff