Yes, engine flame-out by packs of ice, melting snow or even water is a well known incident.
I just would like to know if chuncks of solid ice ingested by an engine could damage the compressor to an extend they bend its blades outwards as a FOD would do.
Now, how this ice reaches the compressor is another question....and it highlights the difference between a de-icing an an anti-icing device.
I personally don't think, and never heard a case, where ice ingestion by a compressor ever damaged its blades, as Shawn Coyles says jet airplanes, without anti-ice barriers often undergo this occurence without damage .
But I know everything is possible in aviation unless proved else.