Do you mean like home and contents insurance, or public liability insurance, or insurance against if PD go broke?
From what was explained to us the first two are covered by PD, I'm not sure if it's possible to do the third?
I am too interested in what you mean by this? I work in the banking industry around mortgages and all personal insurances and i have never heard of such a thing. The builder should be taking all responsibility of the house including builders warranty insurance until date of handover.