Yes, not "Mycenaeans" properly as it's a cultural identity only formed when Proto-Greeks absorbed local Minoans or, rather, possibly peoples related to Minoans. But if the OP was asking about "Early Mycenaeans" in the sense of those earliest Greeks right after they migrated into Greece, they probably came from elsewhere and were still not very mixed with Greeks or people near Greece. In my opinion, they were possibly more "northern", either Balkanic or from Northeastern Turkey, so they should have a lot more R1b, I2 and perhaps also G2, not just J2. We can't deduce that Mycenaeans were all J2. They look very mixed to belong almost entirely to only one haplogroup, unless they experienced a really massive founder effect followed by huge expansion.