No, there's a limit of 162 games at each position, including Starting Pitcher.

The only position with no limit is Relief Pitcher.

BTW, Yahoo now provides us with that information; On your team roster page, just below the "Submit" button, there's a link to "Maximum games and innings", which gives a position by position breakdown of how many games you've used at each position and how many you have left.

Ignore the part in there about the limit on innings pitched - that doesn't apply to our league, as we have none.