The chances are that it's already printed & could well be sitting in a box waiting to be posted or sorted etc. If you need it ugently you could give your payroll division a ring & they might be able to fish it out for you or at least let you know when to expect it. It's worth a try!
I remember working in payroll in 1997 (HSE) and we issued P60's in July (this was when the tax year commenced in April). Revenue weren't too happy with us but we weren't fined.
ring payroll, are you crazy? tomorrow is pay day and I want to get paid! I'm hoping it will be issued tomorrow as that is when payslips are issued but payslips are now electronic. I'll ring them after the pay is done so maybe Friday!