absolutely. one of my runs i skipped the mortician completely and nothing impeded me at all with the case. (usually i'll murder him just for fun and so the legion guard can say some vigillante came and took the law into their own hands =D ) The game runs so dynamically that there can usually be a few ways to attack and solve the missions
But did you do this without any breaking and entering and/or stealing?
B&E = Entering locked room that you're not "supposed" to go in to because the door is red instead of yellow.