Greetings and Welcome Trishiow!
You should certainly plant whatever trees you wish. Many people have special attractions or a closeness with tree types that aren't even native to their area, let alone Ogham trees. I have elms in my yard, but actually have pecan trees included in my backyard grove, amongst the oaks (which were already here when I moved in). I particularly love pines, and have planted 2 just outside the grove area, so they could get more sunlight to grow. I have planted different types of trees in various parts of my yard where I thought they would have the best chance of growing and prospering, not necessarily in the 'grove' area.
You might want to consider things like soil type, climate, water requirements, how fast (or slow) the trees will grow, whether they like full sun, or partial shade, etc. when planning your grove, and considering what trees to plant.
Bright Blessings and Happy Planting!