Trim and stitch simultaenously

I've spent a week using Adobe Media Encoder to perform basic tasks which I used Premiere for and the amount of time saved has been significant. Therefore, I'd like to know if the following can be done in Media Encoder in a single encoding session:

Trim and stitch simulatenously. For instance, I have A.mp4 and B.mp4. I'd like to remove 1 minute from the end of A.mp4 and 1 minute from the beginning of B.mp4 before stitching them together into one video file in their alphebetical sequence. The settings window doesn't allow cutting a clip in the middle.

Thanks in advance.