The short answer is no, there is no direct way to do such a transfer. These phones have no way to interact with each other and as they are 2 separate series the phones are not compatible with each other to exchange information.
With that said, there is a partial workaround possible - as these are both "link2cell" capable models, it may be possible for you to link a smartphone to the first system, sync the phone book between them, and then go link that same cell to the new phone system to sync their phonebooks. This really depends on your phone model though (cell phone) as not all features are compatible and there are several formatting limitations that prevent this from always working perfectly. If it doesn't, then the remaining option is to manually enter all the numbers.
You can sometimes ease that burden as well by just waiting a bit and over time allowing people to call you, as they do, you can save their entries from your caller id to the phone book, rather than having to enter them all on your own.
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