Yes, but only in exceptional circumstances, such as gross misconduct. Your employer can dismiss without notice if it genuinely and reasonably believes, following a fair investigation, that you are guilty of gross misconduct.
Such a dismissal is called a 'summary dismissal'. Although this way of terminating someone's employment can be lawful, the employer is still under an obligation to operate a fair procedure and they should comply with the Acas Code of Practice on disciplinary and grievance procedures.
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