I'm roughly the same age, and while I can remember all the brick-and-mortar places I've gone to work, there was a period where I did temp work and I'm sure I couldn't name all the agencies I worked for and certainly not all the clients.
If you're younger and grew up in the gig economy, that might be much more common.
In my 30s here but I think I more or less remember. For a year or so I worked as a temporary admin assistant in a few locations, the details on some of those are getting a little fuzzy these days. But if anything I remember the feeling of working there a lot better than what the workplace looked like.
I'm in my mid/late 50's, and I can. Even one gig I had for 3 1/2 hours.
Not bragging here, but I suspect MOST people can remember all their jobs. Am I wrong?