No chance, "lol" has been in usage for at least 25 years, possibly more than 30.
Wikipedia suggests lol is more like 40 years old, but you actually have a written record to back that up.
All I have is my own experience, I wasn't really on the internet until the 2000s so I wouldn't have come across lol until mobile phones and texting became widespread (around 1999/2000).
"I accidentally a" would have been in the 1995 - 2000 time frame. But again that's just my experience of it.
"I accidentally" started in 2008, and they have a link to the youtube video it came from: https://knowyourmeme.com/memes/i-accidentally