There are plenty of constructions like this that are perfectly natural
A window is broken.
Some food is rotten.
A man is dead.
There are some particular issues with "Ice is melted." (see below) But if your question really is "is this type of sentence possible" the answer is "yes". But your particular sentence "Ice is melted" is not good.
You seem to be having difficulty separating what you can say, from what you should say.
"Ice is melted" is not what you should say.
What about melted as an adjective, well "molten" is often the better adjective. And "Ice is molten" is an oxymoron. It contradicts itself. "Ice is melted." (if you intend melted to be an adjective) is just the same. But there is another way of parsing "is melted".
Because "melted" is also a participle. So this appears to be a passive-voice sentence, and it could be rephrased as "Someone melts ice" So, if you and your family live in the Arctic, and during the winter you get water from melting ice, and you have a pot that your family use to melt ice in, you might say "Ice is melted in this pot."
It's not a very common thing to say. If you use the water in that glass for melting ice, then you could say "Ice is melted in the water".
But what you probably mean is "(Some/The) ice has melted in the water." The present perfect tense is the "perfect" tense for this.
But that's not a description of the picture!!
If you want to "describe the picture", you'd say "A glass of water". Since there is no ice!
Finally, what about the attributive. It is okay to say "rotten food" or "A dead man", but "molten ice" seems odd. "Melted ice" is natural enough. I shan't try to judge if that's an adjective or a particle (the grammar is ambiguous) but it obviously means "water that used to be ice (and for which the fact it was ice is in some way important).
The roads can become dangerous when melted snow re-freezes at night and creates patches of black ice.