Can the derivative segment be activated on two accounts with two brokers on nse?

Suppose I have two trading accounts with two separate brokers in india. Now, can the derivative segment be activated on both accounts or not? Can I trade in derivative on both accounts ? Can I place order and reverse orders both using two accounts with two brokers i.e. If I place a buy order in any stock future on nse on my first brokers account, then can I place a sell order also on the second account to benefit the fluctuation on stock prices.

Investor/Trader