No. Track Changes is not available in Final Draft Writer.
If you would like to use this feature, you will need to open your file in the desktop version of Final Draft 13.
For further information on utilizing Track Changes in FD13 you can visit these links:
How do I track changes made to a Final Draft file?
If you need to install your copy of Final Draft 13, you can do so here:
https://www.finaldraft.com/support/manuals-and-software/fd13/