No, these two are completly different.
AR 670-1, Chapter 28-17, pg. 246 and Appendix F, pg. 336:
28-17. Shoulder sleeve insignia-former wartime service (SSI-FWTS) (aka: Combat Patch)
a. General. Authorization to wear a shoulder sleeve insignia indicating former wartime service applies only to soldiers who are assigned to U.S. Army units that meet all the following criteria. Soldiers who were prior members of other Services that participated in operations that would otherwise meet the criteria below are not authorized to wear the SSI-FWTS. Wear is reserved for individuals who were members of U.S. Army units during the operations.
(1) The Secretary of the Army or higher must declare as a hostile environment the theater or area of operation to which the unit is assigned, or Congress must pass a Declaration of War.
(2) The units must have actively participated in, or supported ground combat operations against hostile forces in which they were exposed to the threat of enemy action or fire, either directly or indirectly.
(3) The military operation normally must have lasted for a period of thirty (30) days or longer. An exception may be made when U.S. Army forces are engaged with a hostile force for a shorter period of time, when they meet all other criteria, and a recommendation from the general or flag officer in command is forwarded to the Chief of Staff, Army.
(4) The Chief of Staff, Army, must approve the authorization for wear of the shoulder sleeve insignia for former wartime service.
ALSO .... a. There is no time-in-theater requirement to be authorized to wear the SSI-FWTS