I prefer using "is" sometimes with past participle.
Your screen is frozen.
Your case is picked.
your device is repaired.
in both the examples, I consider frozen, picked as an adjective instead of a verb.
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Yes, this is a possible form, bur in some cases it will sound awkward.
"Your screen is frozen." is a very common and standard usage.
"Your case is picked." is much less common, and indeed I am not sure exactly what the intended meaning is. Picked by what/who or for what?
"Your device is repaired." is sufficiently non-standard that it might be considered incorrect. The usual expression would be "your device has been repaired." (or of course "Jane has repaired your device.") I wouls think "Your device is repaired." would indicate a preexisting state of things, as in "Your device is repaired, not new." But for this meaning ":refurbished" would be far more common.
There is no rule hat I know of for which verbs will take an "is" construction, which will take a "has been" and which will allow either with no difference of meaning as "frozen": does. Ro the best of my understanding this is a matter of historical accident.