Is norfloxacin used to treat thyphoid fever?

According to the World Health Organization document on the epidemiology, infection,
diagnosis, treatment and prevention of typhoid fever at http://whqlibdoc.who.int/hq/2003/WHO_V&B_03.07.pdf
...The available fluoroquinolones (ofloxacin, ciprofloxacin, fleroxacin, perfloxacin)
are highly active and equivalent in efficacy (with the exception of norfloxacin which
has inadequate oral bioavailability and should not be used in typhoid fever)...

so the answer is no. Norfloxacin should not be used to treat typhoid fever.

You will find information on the FDA approved indications of Noroxin (norfloxacin) at http://www.drugs.com/pro/noroxin.html