Answer:
No. If I showed you my pay stub received on the 15th of last month, it only proves I was paid then and the amount. In a sense it verifies employment for that period, but not necessarily for today. Worse yet, what if the only pay stub I had was from 3 months ago? You are seeking something more current and typically you want to know how long the applicant is employed, etc. So there may be more that you want than is on a pay stub.