In a large mixing bowl, pour the buttermilk, eggs, olive oil, honey, and yogurt and whisk them until fully combined.
Add walnuts, oat and self-raising flour, baking powder, and baking soda into the bowl. Whisk until combined.
Crumble the goat cheese into the mixture, add the fresh thyme leaves and mix with a spatula. Let the batter rest until the pan is hot.
Place a non-stick pan or griddle, on medium/low heat, until hot.
Pour about ¼ cup of the batter for each pancake. Cook each side, until golden and the sides of each pancake are set. Flip and cook on the other side. Repeat until the whole batter is used.
Serve them while still warm, plain, or with the topping of your choice.