Is it possible to install Ubuntu 16.04 LTS without formatting the target partiton??
HDD Partitions: I currently have Manjaro Gnome installed on /dev/sda4 and the /dev/sda3 is set to swap. The /dev/sda2 partition is a NTFS partition with all my personal data. I have installed Manjaro in a single partition. My target parition is /dev/sda1 which has my movies and videos. My partitoning scheme is MBR
It would depend what is the file system currently on your hard drive. If you already had an older version of Ubuntu the answer is yes. Note, however, if you have not properly partitioned your hard drive to have /home in its own partition, then you will likely loose all your information.
If you do not have such partition, it may not be too late. Depending on how much free space you currently have in your hard drive, you could create a new EXT4 partition and copy all your files there. Then, when you install Ubuntu you just make sure that you do not format that partition.
If you provide additional information we could edit the answer to be more specific.
