No! He was sent to a miserable school much like the one CS Lewis was sent to--with horrible people who screwed the parents out of their money, feeding the kids horribly, and maltreating them in other ways.

His ire against public school snobbery, as I recall, fulminated mostly in his tirade about Boys' Own Papers and Billy Bunter and the boarding school publishing industry, another one never published during his life. I haven't reread them for decades, so don't trust my memory (which comes in image, not text) but wooee, riveting reading. Riveting.