Can you use ODBC to extract data directly from SAP HANA S/4 1610?
Your question is a bit confusing so I hope I'm deciphering it correctly. 

Technically you can connect to a SAP HANA database using ODBC -- this is helpfully documented in the manual.

What you do after you connect is another question. The SAP ERP application schema is very complex and poorly (if at all) documented, and it is highly unlikely that you will be able to reverse engineer it and create a sufficiently reliable ETL process based on that.

So the answer I guess is "yes you can, but you don't want to".