There is no way to fake the time stamps. It's baked into the tweet ID with the following formula:

Tweet_id to Unix: ((tweet_id >> 22) + 1288834974657)

This gives you a Unix timestamp that you can convert to human time.

Unix: 1291761648624
Human: 20101207224048 pic.twitter.com/Hc14hNGsxB

— Qriist (@Scrounged9) June 11, 2020