Is it possible to save this plant, either by splinting or otherwise binding the break together, or can I prune it at the break and expect it to come back?
I would not worry too much about it. You can stake it, and secure it above and below the break. It should recover nicely.
Not sure if I would prune it unless you know that it is an indeterminate variety. If it is a determinate type you may limit how many fruit it can set. If you google the variety name you can find out if it is determinate or indeterminate.