No, because "to concur" means "to agree in opinion" (i.e. to have the same opinion). It doesn't mean "to agree" in the sense of agreeing to do something. You could say "The staff concurred that it would be best to change the date." In this case, you are saying that the staff members share an opinion (probably with someone else, such as their boss), and the shared opinion is that it is best to change the date.
"I concur that the movie is terrible" = "I agree with your opinion that the movie is terrible."
After "concur," you will usually use either the word "with" (to indicate the person whose opinion you agree with -- "I concur with you") or "that" (to indicate what opinion you agree with).
(Edit: Sorry, I somehow missed that your sentence was a negation. Benjamin has given a good option for using "concur" in the negative.)