If that's how it sits without you pulling up on the cone, I'd say not likely since it may be difficult to get the cone lined up evenly. I'd suspect if you can get the dustcap off, mate the pieces up, and actually line it up nicely you can glue that to hold. I would use some thick CA glue first to secure it and seal up the seem then throw a huge bead of Amazing Goop over that. Worst case scenario you're only out a few bucks in glue for trying.
The biggest risk with this I see is that if things aren't aligned the cone will tend to wobble and rub the coil in the gap.
Also what type of woofer is that and how did this happen?