Yes! You can make this creamy cocktail lactose-free. For a frozen mudslide: Use Bailey's Almande, which is gluten-free and lactose-free, or make your own Irish Cream. Use lactose-free vanilla ice cream. I like Breyers brand of lactose-free ice cream - I truly can't even taste the difference.  For a mudslide on the rocks: use Bailey's Almande and lactose-free milk. I recommend Fairlife lactose-free milk because it does not have any additional sweetness to it.