Quantification

Is there a quantification tool hidden somewhwere in the program ? I am referring to a function that can syncronize a music track in time according to the desired distribution, for example 2/4, 4/4, 6/8, 3/4 exactly on the beat ?

The word you are looking for is “quantization” (or “tempo quantization”).
No, Audacity does not have that feature yet.