Yes.

Activate Units of Measure & Packagings:

Define the most common barcode (or your internal barcode) for the Product on the General Information tab:

Normally, you have multiple barcodes because you purchase the same Product from multiple Vendors, so if this is the case create a Packaging with the name of each Vendor and click on it after creation to associate the barcode with it.  If not, create a single packaging called Barcodes and associate multiple barcodes with it.

Then, complete the Packaging information including the Barcode(s)

When this product arrives or is ordered or needs to be moved in the Warehouse, you can scan any of the following barcodes to pick it:

1238550602668

2238550602668

3238550602668