Yes you can drive to a prebooked MOT test so long as the car is properly insured, also ensure the test station takes your name and registration number together with the car type too.
From DVSA...
If your MOT has expired
You can’t drive your vehicle on the road if the MOT’s expired. You could be prosecuted if caught.
The only exception is if you’ve already booked an MOT and are driving your vehicle to the test centre.
If your vehicle fails the test
You’ll get a ‘notification of failure’ from the test centre if your vehicle fails the test. The failure will be recorded in the secure central MOT database.
You can still drive your vehicle if it fails the test and its existing MOT certificate is still valid (ie you got it tested before the expiry date). However, you might be stopped by police and prosecuted if your vehicle is unroadworthy.
If the vehicle fails the test and the certificate has expired, you can only drive it to:
- have the failed defects repaired
- a pre-arranged MOT test appointment
Your vehicle should be retested at the same test centre that did the original test.
Read the rules here...
https://www.gov.uk/getting-an-mot