Not exactly, although if you fought well and for many campaigns and were very tall, you could land yourself in the Old Guard, which Napoleon generally held in reserve for most battles (Waterloo being a time when you didn't want to find yourself in the Old Guard). The core of Napoleon's army was formed from the class of 1793, conscripted from the levee en masse.

Your odds of being killed in battle were high, but your odds of being killed by any single shot fired were low. Accuracy rates over 100 meters dropped precipitously from roughly a coin flip to almost zero beyond 200 meters. As a result, armies of the day massed fire in various ways, hence why everyone stood roughly in a line or a square and fired volleys. Like in most wars, you were more likely to die from exposure, lack of medical care from wounds, rather than strictly a bullet to a vital organ or something of the sort. You were also very likely to die if you marched on Moscow in 1812.

One way to increase your likelihood of survival was to know someone important and have your family personally plead with them not to conscript you. Collections of letters from the era show the technicalities families would argue to get their sons out of being conscripted. Bernard and Rene Wilkin gathered a variety of these letters in "Fighting for Napoleon: French Soldier's Letters" and you can see families putting forth the fact that other sons in the family were already fighting, the son had a new wife and child, etc.