Can I use the same record ID in two different arms in the same project?

Yes, but you must first disable auto-number for records which requires the first instrument to NOT be a Survey:

https://washu.atlassian.net/wiki/spaces/RDCPPub/pages/545194051

Then, add a new record using the Add / Edit Record, Record Status Dashboard, or Importing Data. If using Add / Edit Records, select the arm in the dropdown to select the arm to enter a new record then enter the Record ID.

Record ID multiple arms AddEdit Record.png

If the record ID exists on another page, there will be a warning at the top of the Record Home Page:

Record ID exists in both arms.png