Is Colombia Pictures the same company as Columbia Broadcasting System?

Short answer: No. Columbia Pictures was founded by Harry Kohn. Not sure about CBS, but I’d say “Columbia” can’t exactly be a trademark, as it’s the female figure equivalent to the UK’s “Britannia”, and New Zealand’s “Zealandia” from the 19th century. Part of the nationalistic fervour of the time. Hence Columbia Picture’s emblem.

I believe that CBS, Columbia Pictures, and Columbia Records were originally all parts of the same company, but were broken up and sold over the years. Sony now owns Columbia Records, but several of my Pink Floyd albums also have the CBS logo on them.