Does the Hunter Ranger’s Giant Killer allow you to grapple or shove with the reaction?

The Hunter Ranger’s Giant Killer feature says:

When a Large or larger creature within 5 feet of you hits or misses you with an attack, you can use your reaction to attack that creature immediately after its attack, provided that you can see the creature.

Since it says "you can use your reaction to attack that creature" without specifying that it has to be a melee weapon attack, could you instead use "special melee attacks" like grapples or shoves for this reaction?