Yes, Date Simulator can be used to control a simulated date for all of a CICS region. There are two CICS settings: "CICSALL" or "A" for all transactions and "CICS" or "Y" for Transaction-Level warping.
SET JOB CICS33B CICSALL
Select Transaction Level = A
SET JOB CICS33B CICS
Select Transaction Level = Y
Transaction-Level warping uses the DTSM transaction in CICS to specify the names of the transactions, users, and terminals to be warped.
For more information see pages 4-13 and 4-14 and 6-5 of the CA Date Simulator User Guide.