Yes.
Liechtenstein has won 9 medals (2 gold, 2 silver, 5 bronze), all
in alpine skiing at the Winter Olympics. They have won no medals at
the Summer Olympics.
Hanni Wenzel won 4 medals (2 gold, 1 silver, 1 bronze) in
slalom, giant slalom, and downhill.
Andi Wenzel, Hanni's brother, won 1 silver and 1 bronze in giant
slalom.
Paul Frommelt won 1 bronze in slalom.
Willie Frommelt, Paul's brother, won 1 bronze in slalom.
Ursula Konzett won 1 bronze in slalom.