Instead of the indefinite article "a" I would have written "the". It is the last chance. I usually use the word "opportunity" though. I also use punctuation (commas) and I capitalize proper names unless I am writing about someone such as e.e. cummings who used lower case, or if I am writing the style of "archy and mehitabel". http://donmarquis.com/archy-and-mehitabel

Normally a "last chance" is possessed by someone. So you would say "my last chance to.." or "our last chance to.."