It could - and not in a good way. There's a chance you may not be eligible for Social Security at all. An estimated 30% or so of public-sector workers across 12 states are not part of the Social Security system. (To find out if that's you, ask your employer's benefits administrator.)
That situation makes it all the more important to get serious about saving for retirement on your own, rather than relying on your pension to cover all your income needs down the line. 
