Here’s what science has to say:
Conclusions These data do not support the hypothesis that the recent use of hand-held cellular telephones causes brain tumors, but they are not sufficient to evaluate the risks among long-term, heavy users and for potentially long induction periods.
http://content.nejm.org/cgi/content/abstract/344/2/79
Conclusions Our data suggest that use of handheld cellular telephones is not associated with risk of brain cancer, but further studies are needed to account for longer induction periods, especially for slow-growing tumors with neuronal features.
http://jama.ama-assn.org/cgi/content/abstract/284/23/3001
Conclusions: The results of this investigation, the first nationwide cancer incidence study of cellular phone users, do not support the hypothesis of an association between use of these telephones and tumors of the brain or salivary gland, leukemia, or other cancers.
http://jnci.oxfordjournals.org/cgi/content/abstract/93/3/203
So…...no.