Voxel texturing with single texture instead of texturesheet?

I have a voxel world that is pulling textures from a texturesheet which is placed on the chunk object. However is there a way to texture the chunk objects using a single texture instead of a texturesheet?

I have this class:

 public class AllBlocks
 {
     public string name;
     public Vector2 texturePosition;
 }

and I want to be able to have this:

 public class AllBlocks
 {
     public string name;
     public Texture myTexture;
 }

is there any way to change this class in order to use a single texture and not a tilesheet? :

 void TextureCube (Vector2 texturePosition) 
     {
         newUV.Add(new Vector2 (tUnit * texturePosition.x + tUnit, tUnit * texturePosition.y));
         newUV.Add(new Vector2 (tUnit * texturePosition.x + tUnit, tUnit * texturePosition.y + tUnit));
         newUV.Add(new Vector2 (tUnit * texturePosition.x, tUnit * texturePosition.y + tUnit));
         newUV.Add(new Vector2 (tUnit * texturePosition.x, tUnit * texturePosition.y));
     }

Is there something along these lines that I can do? :

 void TextureCube (Texture myTexture) 
         {
             newUV.Add(myTexture);
             newUV.Add(myTexture);
             newUV.Add(myTexture);
             newUV.Add(myTexture);
         }

This is the best I can explain what I am trying to do. Is there anyone that can help me with this? Thank you