If a patient only wants their teeth straightened, without correcting the bite, this is possible, as long as there is no risk to the health of the teeth.
However, in some cases crooked teeth are directly linked to a bite problem, which means it is not always possible to align them without at least partly correcting the bite. This needs to be confirmed by a detailed orthodontic analysis.
This answer is for general information. Your own case needs an examination by an orthodontist.