Apparently (According to Memory Alpha) the start of Lower Decks is only 2 years after the end of Star Trek Voyager.Why is Paris still a Lieutenant? That’s what bugged me the most.
Also that joke about him flying them to the Delta Quadrant doesn’t work as he wasn’t even piloting the ship at the time.
Voyager was 2371-2378
LDS = 2380-
Star Trek Picard is in 2399,
The Synth attack on Mars is on April 5th, 2385.
So it hasn't occured yet.