Yes, it's possible to complete without firing a shot till near the end anyways.
I always set all the power to engines at the beginning of the mission and keep afterburning to the closest cargo container. Usually when I get the first two scanned the first pair of freighters warp in but I continue to scan the last two. Then I head for the freighters. The trick in this mission is to keep a close eye on the 3 dragons though. The best way to keep track of them is to add them to your monitoring list. I think you first have to remove the ships that are already in the list though. So, just keep a eye on the dragons while between scanning each ship and you should be fine. And I believe you have to be more than 500 distance from the dragons to keep from your cover getting blown. Also command will notify you when a dragon is getting close to you so just hightail away from the closest one to you while not heading towards any of the other two. After scanning the Demon destroyer the Lucifer will jump in shortly or will have already. Command will tell you to scan one of it's docking bays but, what they really mean is one of it's fighterbays. After scanning a fighterbay some manticore fighters will fly out of both bays and your cover will be automatically blown and at this point however the 3 dragons will have already entered the lucifer's bays some time ago. So, just concentrate on taking out the manticores and don't forget to put some energy to weapons and maybe even shields if you're taking hits from the manticores/lucifers turrets.