If you want to adjust the time offset on every note by the same amount, consider using process -> slide.
Negative values in slide will sound earlier, and positive values, later.
This will slide back a little less than a 32nd note.
When you select the data on the track, make sure to start the selection with the first clip (assuming the first clip is later than time 0). You can do this by ctrl+clicking the first clip 2x. Or just lasso starting with the first clip, etc.