mtg can a vigilant creature still tap its ability?

[lucky]

can a vigilance creature still tap its ability?

[Void Elemental]

Creatures with Vigilance can still tap as normal, they just don't tap for the purposes of attacking.

[Lakepirate]

For example you can attack with Steward of Valeron and he won't tap, but if you want to use his ability to tap for mana, he does tap. And yes, you can use this ability after he has attacked.