Is it possible to have an accurate speaker

I think the point of any good speaker is to reproduce whatever is put into it. If it always sounds "round" or "warm" regardless of the source it can't be particularly accurate as, after all, music tonality is nearly infinitely variable. Or something.

Accurate usually means "true to the original" the original being whatever is fed to it as noted above.

OTOH, "warm" can be one or more of many things: a BBC type downward sloping speaker response curve, linear or non-linear distortion, muted high frequencies, augmented mid-bass frequencies, over-damped listening room, blown tweeter ;), a recording without strident highs, a well-balanced recording, lack of sibilance and very extended high frequencies...

by my opinion warm or cold = colored , accurate = neutral....the funny thing is...what is warm for someone is cold for someone else...so same word but everyone gets it on his personal way...

It's just semantics but "warm" describes a particular type of sound. If everything sounds that way, it is probably not as "accurate" as it might be since these two words infer a different nature of the sound.

But its all semantics, ie meanings of words. Not of much value outside of discussion.

The only practical way to assess relative sound of different things is to compare them to a reference. ALways have a reference sound in mind for comparison based on systems and/or live music you have heard, if you care about these things. OR just listen to what you have and enjoy it for what it is if you can. Its all good. Technically right does not assure a happy listener. Music is art, though the gear needed to play it at home is based on science.

Well, if you want an easy answer you can take the many different, and opposing, opinions that you will surely get in response to your question (I like Mapman's, btw) and try to find some kind of concensus or distillation. Or, if you want a truly meaningful answer that will ring true no matter all the cries of: "you used different amps", "no two halls sound the same", "you don't know what the recording engineer had in mind", etc., you can make a commitment to listen to A LOT of live music over the course of, say, the next six months; and then you will have a better sense of what the ONLY true reference is all about. It won't tell you which speaker is accurate because there is no such thing; but, it will tell you which speakers get closer to being "accurate" than others. And some actually do a decent job of it; sometimes sounding "warm", other times sounding nasty and shrill and everything in between.