no you wont be covered for the engine work shortie
but on another note,,on your policy it may say that you can drive another car as long as it dont belong to you ( third party )you find me on any policy where it states that the other car has to be insured

,BUT what the police can nick you for IS, when you get pulled over and step out of the car they can then nick you for leaving an uninsured car on the road,lol