No.

The comet is just about directly to the side of the sun right now, and if is visible at all after sunset it would only be a couple minutes at best after that then it is below the horizon too. It is currently visible during the day. It is heading towards the sun and expected to vaporize as is get's too close. If I am understanding the story's right it will only be visible at night in the southern hemisphere after it passes the line between us and the sun.