SHORT ANSWER
The core idea
Yes. A bond can trade above par when its coupon and other features are more attractive than those available on comparable new securities.
THE MECHANISM
What is happening underneath
The premium generally declines as maturity approaches if the bond is expected to redeem at par.
MARKET INTERPRETATION
How investors should read it
Callable bonds may have their upside constrained by the issuer's right to redeem early.
BONDSTATS TAKEAWAY
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.
RELATED CONCEPTS
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