Yes, I think so. I think media tends to lead in these matters, and pop-culture shows improvement. Trans-panic jokes used to be part of the standard sitcom repertoire, and trans characters used to be favorite victims on the crime procedural circuit. Nowadays, the trans-panic jokes have fallen into disfavor, and every season of TV brings more positive portrayals of trans people
The same pattern occurred with homosexual people. They went from "sirs not appearing in this film" to jokes to real characters. This shift in pop cultural acceptance has been echoed by changes in acceptance, both social and legal. Our pop-culture is a mirror of reality, showing us (in this case) where we're going. I think the signs are positive.
That said, there are too many lives lost in the interim, and we can't allow pop culture to be the sole driving force. People react badly to trans people, most often, because they don't know any trans people. Fear and ignorance bread hatred. By coming out, being out, and living our lives... trans people are banishing that ignorance. It's easy to hate someone from afar, but much harder (but not impossible) to hate someone that is your daughter, brother, co-worker, or friend. Again, this coming out and showing people that they can't just hate from afar, is what drove acceptance for homosexuality.
Most people these days know at least one gay person, and I think some day soon that will be true of transgender people.