It is possible, just not very plausible. Assuming you have a large pool of high SED friends that will kill all your SEGs, you would still have to encounter 10+ SEGs a day since you won't be doing any killing to get closer to that 100 mark. Getting to 100 is already hard enough, but now you're suggesting aiming for 200? (lol?)
I tend to find that sometimes you get a certain type of bug where you have to exit the search screen and reopen it to reset your boss status. There's a chance that doing so might help solve your issue.