Is it possible for the radiation therapy for one cancer to give me another form of cancer?

Very low chance: It is possible for radiation therapy for one cancer to lead to a second cancer however this risk is about 5 excess cancers per 1000 patients treated by 15 years after diagnosis (gonzalez a et al. Lancet oncology. Vol 12, issue 4, 2011).

Yes: It is possible but statistically low. The benefits for the cancer you are treating will far outweigh this risk. However any unnecessary risk should not be taken if for example radiation has no known benefit for the condition being treated.

Rare but possible: Like anything there are good and bad sides. For most, the advantages of treating a known cancer far outweigh the rare risks of an induced cancer usually at least 10-15 years later. One well documented area though is women who receive mantle radiation for hodgkins. There is an increase in breast cancer risk starting 10-15 yrs later which warrants high risk surveillance including screening bmri.