Arthur, the gov. already does this..
changes to the Immigration Rules will make it mandatory to refuse future applications for a set period of time if the applicant has previously breached UK immigration law.
From 29 February 2008
Any application in which deception is used will automatically be refused.
From 1 April 2008
A set period of automatic refusal is being introduced if an applicant has:
* Overstayed – that is, remained in the UK for longer than permitted
* Entered the UK illegally
* Used deception – for example, by submitting false documents
* Breached their conditions of leave – for example, by working illegally
The use of deception will lead to automatic refusal of all future applications for 10 years.
People who leave the UK voluntarily at their own expense within 28 days of the breach occurring will not be penalised, but in all other circumstances overstaying, entering illegally or breaching the conditions of leave will lead to future applications being refused as per the following schedule:
* For 1 year – if the applicant left the UK voluntarily and at their own expense
* For 5 years – if the applicant left the UK voluntarily at public expense
* For 10 years – if the applicant was removed or deported from the UK
but There will be no mandatory ban where entry clearance is sought for settlement to join a partner / spouse or other family member, where the immigration offence was committed before the applicant was 18 years old, or where the applicant has been recognised by the UK Border Agency as a victim of trafficking.