Buying and selling nifty future for hedging

we know that there is a gap risk in trading… So suppose I am bullish n buy nifty future but to hedge the gap risk, can I also sell nifty future n continue it for next day…

You will not be able to take Long and Short position simultaneously, at a time you can either be Long or Short in the same contract.

Can I buy current month fut n sell next month fut.???

you cannot buy and short same contract at the same time… yes you can take position in next month contract but dunno how this will be of any help… also, you can hedge your long futures by buying put option as well…