Yep. But it really kind of depends. I had a very sleepless night after getting the 2nd dose - thought it was because my arm started hurting sooner and that it was keeping me awake. I talked with a couple of teachers at the school the next day to find some of them also had a sleepless night after the 2nd dose. I was so tired from lack of sleep that I began to feel somewhat puny that next day but it passed after a couple of hours so I don't know if it was truly lack of sleep or a side effect of the shot. By that evening I felt pretty good and the arm pain was gone by Saturday morning.This morning on NPR they were saying it’s the second shot that makes you feel really bad. Gives me something to look forward too.
Conversely, I heard from several people who got pretty sick feeling with fevers in the 100-101 range and body aches - kind of like the flu. They were off work a day or so. One or our neighbors got symptoms of Bell's palsy for a couple of scary hours with *both* shots - she got the Pfizer vaccine.
All of these were with Pfizer. The only person I know who had the Moderna (a cousin-in-law who's head nurse in an assisted care facility) had no issues of any kind, outside sore arm, with either dose. She didn't say if any of the people under her or in their care had issues.