No.
ME endorsement lets you fly ME in VFR conditions. It's the ME equivalent of being qualified to fly SE in the same conditions. Doing an IR on a single only qualifies you to use your IR on SE aircraft. A SE IR doesn't cover the skills needed to handle a the profoundly degraded handling qualities of a ME with an engine failure while flying in IMC. In most countries, however, doing a ME IR also gives you SE IR privileges.