Data transfer to new Mac

No.

The best they used to do was send you to a table in the back of the store where folks were doing their own transfers, with questions answered by an associate who was fairly knowledgeable about how it ought to be done. They also had loaner cables for one-off use, so you did not need to buy one.

Instead, you should plan on acquiring the cables you need. Migration Assistant (or its cousin Setup Assistant) will be happy to selectively bring over your data from you old Mac, its backup, or a PC:

How to move your content to a new Mac - Apple Support

.

Yes, if you are purchasing the new computer from them. There is a fee for the service. You can do it yourself using Migration Assistant which will be on the new model. You will need to connect the two together: How to Use Migration Assistant with macOS Catalina. Also, see Setting up a new (or repurposed) Mac- 2 Migration Assistant and Setting up a new (or repurposed) Mac- 3 Manual migration.