Please tell me if an epiretinal membrane in the eye the same as macular pucker?

Yes and no: A macular pucker is often caused by an epiretinal membrane. But you can have an epiretinal membrane without a macular pucker.

Same: Those terms mean the same thing. Additionally, sometimes a pucker is referred to as "scar tissue on the retina", and "epiretinal gliosis." when appropriate, surgery to remove the pucker may be a good idea to halt vision deterioration, or modestly improve vision. Best to see a retina specialist for this kind of problem.