Not yet. Scaled Creator posts each TikTok video once. There is no option to re-run a video that has already been posted and have the DM links, Amazon product, and keyword automation attached again.
This comes up often from creators whose videos go viral in waves and want to recycle the same video every month or two, so it is on the feature list and demand is being tracked.
Workaround for now
Repost the video manually on Instagram or Facebook and add the product links yourself. The comment keyword automation will not fire on a manual repost, so include the Amazon link directly in the caption.