Earth has no rings.

Does Earth have any ring?

If you're talking about majestic ice rings, like we see around Saturn, Uranus or Jupiter, then no, Earth doesn't have rings, and probably never did. If there was any ring of dust orbiting the planet, we'd see it. It's possible that there were rings orbiting Earth in the past.

Can a Earth like planet have rings?

Sadly, the Earth doesn't have rings like Saturn, and it probably never did. It might have had rings of rock and dust for periods, but they weren't that majestic to look at. In fact, seeing rings around the planet would mean we'd lost a moon, and our planet was about go through a period of bombardment.