Sure, EMT is recognized as a grounding conductor, and if installed properly (with any paint under the TIGHT locknuts removed) a grounding bushing isn't required in this case at all, even at the subpanel.
You must remove any paint under the ground bar anyway, and not fasten it with teks screws or sheet metal screws.
I still don't quite understand why you have a 2" EMT planned if you've got only 8 current carrying conductors, the largest being a #10 (actually a #8, if you'll look below). 16-#10s will physically fit in a 1" EMT.
With only 7 to 9 current carrying carrying conductors, your derated conductor ampacity for #10 THHN will be 70% of it's listed ampacity (40A), or 28 amps.
You might want to consider splitting the circuits up and running (2)3/4" EMTs or (1)3/4" and (1)1/2" instead and saving yourself some time, work, and a bunch of money.
