Nope.
You want either
a) Northcott Mouth. A very nice beach, much like the busier sandymouth. Try the Pinch (7a) or Red Quinnie Cave Traverse (7a).
b) Hartland Quay. A nice beach, nice pub, lots of parking, and you can toddle off and do the Trench Problems (6a-7a) and Clinical Edge (7b).
Both the above are within 10 miles of Bude, so rather handy for you.