I think those who knew the answer were probably laughing so hard that they can't answer your very very simple qestion.
Here's the short answer: NO.
Just in case you would wanna come back to ask more interesting questions, save your trouble. Singapore Airlines is probably the only airline in the world that makes 7 figures profit from its staff. You and your immediate family gets ONE FOC ticket per year, and even that, there are only 5 seats per flight up for grabs. Any more bidders than 5, it goes into ballot. So forget about travelling during peak period, which is 3/4 of the time for SIA.
And NO, there's no way on earth that you can get them to issue you a ticket regardless of what excuse you can come up with. Too many had tried, and they heard them all.
Last but not least, am really curious to know as to why on earth was this info not made known to you?