Yes!
Your fastidiousness with regard to punctuality is laudable but an accuracy of +/- 1 minute is going a tad far. What happens if traffic holds you up? Or public transport is late? I hope you're not going to commit sidereal hari-kiri and fall on your sword?
Try weaning yourself off by using the nearest 5 minute mark and that way, you may endure less ridicule from friends and family!
Cheers
Whirls