Yuppers. I have two bettas, and my new boy, Monet really could care less about me. My older boy, Smaug gets super happy to see me and definitely recognizes me (he doesn't do his happy dance for other people). In the past I have always had bettas that at least acknowledged my existence. He certainly acknowledges Smaug though, and is quick to go flare at him if he sees Smaug acting happy to see me. Smaug completely ignores Monet when I am there, just like Monet ignores me.
I know that they all have unique personalities, but it kind of feels weird to be ignored by a fish. Maybe he knows I only picked him for his coloring and is a snob because of it.