Can I use approve/transferfrom function for ETH coin?

Not as a normal feature.

You could make a contract for it. Users would have to be convinced to keep some of their money on deposit and you would implement the ERC20 interface.

Alternatively, you could make a reserve-backed token and sale/buy-back contract offering a pegged 1:1 rate of exchange.

Possibly neither of those solutions has any practical value. You didn't say why you want to. It might be worth noting that approve and transferFrom was to address a limitation of tokens that native Eth doesn't suffer from.

Hope it helps.