Enterprise Designer does not need to be running, and you do not need to have any Logical Hosts running.
Using ePM to create TPs includes the following basic operations:
Starting eXchange ePM
Creating (or importing) the necessary TPs in ePM
Configuring the TPs in ePM, including XDCs, named Delivery Channels in ePM, and IDCs; IDCs are optional
Activating the TPs