The core idea
Yes. Government bonds can decline in market value when yields rise, and sovereign bonds can also carry inflation, currency, liquidity and in some cases credit risk.
What is happening underneath
A bond being backed by a government does not guarantee a stable market price.
How investors should read it
The relevant risk depends on the issuing country, currency, maturity and investor's horizon.
The same market move can carry different information depending on which maturity, issuer and risk premium is changing. Read the question together with the underlying concepts rather than treating one price move as a universal signal.