edit 4/09: did you try this solution below? I applied it and it worked perfectly and it keeps working perfectly!
Jun 30, 2021 6:05 PM in response to KazukiCHEN
Dear Mac-users,
My Mac: 1 week old, MacBook Air M1 chip (so not the pro version)
I had this problem too and tried to solve it by rebooting, force quit/relaunch Finder, etc.
This is the solution to solve this issue permanently:
settings/trackpad > tab “point and click” > untick the first box “searching and datadetection”
Once I had done this, drag and drop was no longer an issue, works perfect all the time.
Hope it helps (it should!)
Good luck!