No.....the gas gauge has nothing to do with the deck not flipping up.
The gas gauge not operating correctly is a problem all it's own (that is "IF' your gas gauge is the round glass type?).
Hopefully the following thread on the gas gauge failure will help?
Has anyone that owns a Hustler mower with the fancy round glass fuel guage ever have a problem with the fuel guage not reading or showing the correct amount of fuel indicating in the fuel tank? The fuel guage needle indicator on my Hustler Raptor Flip up constantly shows/indicates/points to...
www.lawnmowerforum.com
Also I hope you get the problem solved with the deck not flipping up!
If so please post and share on how you were able to solve the problem....be specific!