Yes of course you can, but you will need jelly shoes as surface may not be very cool, and take a map so you dont get lost "no shops on the sun" and dont forget your sun cream factor 10.000 billion should do it. It is an offence to bring anything back from the sun, so sorry no souveniers.
Top Gooner, that is such a silly answer, why would you want to visit the sun in the dark, there are no street lights there, c,mon please take this seriously.
If you hold your foot up to the Sun you will see that this completely blocks out the light and warmth coming from it so if you do set foot on the Sun please move around to the other side . . . and no jumping!