No.
The W-3/ 1096 are the actual information tax returns needed to PAPER file 1099s or W2s for your employees. If you efile, this is not needed.
See our QuickEmployer Forms FAQ:
Do I have to e-file Forms 1096 or W-3?
Form 1096 and W-3 are not required for e-file. Quick Employer Forms only supports e-file with the SSA and IRS. Please do not send any of these forms to the IRS, as this will generate duplicate filings. These forms are simply for your records.
