Yes you can resolder, but first firmly glue the board together with a strong strong glue--NOTHING heat sensitive or of course electrically conductive. Epoxy should work pretty well.
Then take some 18 gauge or thicker (16, 14) wire , remove the plastic shell leaving just the wire. Twist it tightly. Cut about 1/2" piece of these out.
Now tin (coat and flow solder into them with a soldering iron) each of them. It might work easier to tin a long strand first, then use a stronger cutter to cut the 1/2" size pieces.
Now apply new fresh solder to all the joints, 1/4" on each side of the crack. After reflowing solder, then place the tinned pieces of wire centered over the crack and flow it into the trace, ensuring you don't cross anything.
This will result in a very strong restoration that will be hard to rebreak. The wire strands will help support the board across the crack in addition to the glue.
Take a close look at the traces and also double check the component side to be sure nothing has been compromised (e.g. leads of components crossed touching another one, or cracked components, etc..)
Good luck!