Yes, it is possible, it depends upon the insurance company. But unless you are about to renew your insurance (and can change companies) it depends what your current insurer offers. Long thread on the subject here
Current rates for border insurance are something like 60 euros for 2 weeks and 89 euros for 4 weeks. Border insurance gives you legal third party cover and that's all.
"For sheer delight there is nothing like altitude; it gives one the thrill of adventure
and enlarges the world in which you live,"
Irving Mather (1892-1966)
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