As others have stated, unless you have most of the 50 hours of X-country
time nailed down I think it would be next to impossible to complete an
instrument rating in a week. I did most of my 50 hour X-country requirement
over several months flying "under the hood" also so as to combine the
hood time and X-country time simultaneously. During most of these flights
we actually filed IFR and so also had the experience of interacting with
ATC which is a big part of the equation.

I think it'e very possible to do an Instrument rating course in a week,
but only if you have the 50 hours X-country time pretty much finished
and have done all of the studying and are ready to pass the witten exam
(if you have not already done it). Then you can totally dedicate that week
to flying approaches and hood time and preparing for the check ride.