I purchased yesterday 2-10-18 a AT&T prepaid, Samsung Galaxy Express Prime 2, J3 model 2017. I did not take my old cell phone. I am /have been part of AT&T for many years. Question: can you donwload all my texts from my old cell phone?

Smartswitch, as mentioned abpve, is the cprrect answer.

Yes use the Smart Switch Feature On Your Phone. Or you will need to download it. Using this enables you to transfer all data from one phone to another.

There may be apps that can assist you in this. Give at&t a call and ask!

Nope