Dear Querier,
I have read through your concern and have answered below to the best of my abilities. I sincerely hope this information is helpful to you and solves your issue. thank you.
As you are a Hindu by religion and your wife is a Christian by religion the proceedings for your divorce will be handled according to the special marriage act of 1954. According to the section 31 of the act you can file for petition for divorce to district courts of any of these applicable states
(1) The state where your marriage was solemnized meaning where the formal ceremony of your marriage took place – Karnataka.
(2) Wherever your wife who will be the respondent to this petition is residing at the time you file the petition – Karnataka.
(3) The last place you both resided together – Karnataka.
(4) THIS IS NOT APPLICABLE TO YOUR SITUATION but the place where you reside but only when your wife is residing somewhere this act is not applicable or when your wife is not being heard as alive of for 7 years BUT AS THIS IS NOT THE CASE IN YOUR SITUATION.
To answer your question, no you wont be able to file the petition in Pune as it does not fall in any of categories of the section mentioned.