According to advice I've received in this thread:
it's theoretically possible, however, it does not seem to work with my particular no-data plan. '
You might be able to try the steps they suggested to me and see if it will work with your plan.
Do you have to have a data plan to use Backup Assistant on a basic phone? My son eats phones and it's a hassle to go to the Verizon store to transfer contacts onto another phone.
You do not have to have a data plan to use Backup Assistant, although it does use data to download the app to the phone. Download the app, then put a data block on the phone. If you already have a data block on the phone, remove it, download the app, then put the block back on the phone. Syncs between the phone and Backup Assistant won't need a data plan. More info. can be found here:
You will be charged for the data it used to download the app, but Verizon should credit you back that charge (unless things have changed recently, and I don't think that's the case). You WILL NOT be charged data for the syncing; Backup Assistant is a free service. If for some reason on your bill you actually do get charged for the syncs, dispute it with Verizon 'cause it'll be in error.