Yes. You are entitled to be paid your wages for the hours you worked up to the date you quit your job.
In general, it is unlawful to withhold pay (for example holiday pay) from workers who do not work their full notice unless a clear written term in the employment contract allows the employer to make deductions from pay. Without such a term, failing to pay your wages in full will be an unlawful deduction of wages which can be challenged in the employment tribunal.
Remember that your employer is free to refer to your failure to give proper notice in any reference they give to your new employer.
