I broke my phone. Is it possible to divert texts to another device until new on arrives?
Not at this time unless you are enrolled in this beta program that allows you to access your texts on a desktop
The only other option, not quite an exact substitute is you can view your call logs in your account
to find the phone numbers that are sending you text messages and you can call them back from a different phone.
I believe this thread has all your answers.
can I forward my number /text until I get a new phone? can I check voice mail?