Well, of course you can.  You can do all kinds of foolish things if you wish.  

Should you?  Probably not.  The W-2 can have relevant information that's not on a final paycheck, information that can affect your income tax return.  Besides, the IRS isn't going to accept income tax returns until late January and you'll most likely have your W-2 before that.

If you do not get your W-2 the IRS allows you to use your paycheck but you must follow the IRS rules and call them first after February 28, 2018.   If the IRS is not successful in obtaining the W-2, then they will allow you to use a paystub.

See: <a rel="nofollow" target="_blank" href="https://www.irs.gov/newsroom/missing-form-w2-irs-can-help">https://www.irs.gov/newsroom/missing-form...>

https://www.irs.gov/newsroom/irs-statement-on-2018-filing-season-start-date

https://www.irs.gov/newsroom/get-ready-for-taxes-plan-ahead-for-2018-filing-season-to-avoid-refund-d...