In Journalese writing, yes. In academic writing, no:
"JAVA developer with excellent analytical skills, available for new
challenges."
In academic or formal writing, the above are sentence fragments with no overt verb in either "clauses":
"JAVA developer with excellent analytical skills is available for new
challenges."
Note: the part of speech of "available" is not a verb in the above, but an adjective. It follows the structure of adjective + preposition:
I’m surprised at how fast my students are learning.
My mother is angry at me because I forgot her birthday.
Jamila is good at songwriting and painting.
He’s terrible at math – he failed the class twice!
ODO also cites "available" as only an adjective, especially in the example:
‘the nurse is only available at certain times’
This, of course, depends on the style guide you consult. I'm not sure whether it is a convention in Journalese writing to omit the main verb; however it certainly is not impossible. I've seen a few headlines without a verb:
Earthquake and Fire: San Francisco in ruins
North Korea trip 'successful'
This specific style guide states:
Subject and verb, please: Don't write headlines in which nouns and
verbs (other than “is” or “was”) are assumed. And don’t start a
headline with a verb. (See Problem Headlines section.)
Use the active voice: Effective headlines usually involve logical
sentence structure, active voice and strong present-tense verbs. They
do not include “headlinese.” As with any good writing, good headlines
are driven by good verbs.
Problem headlines
Example #2:
Police chase winds through three towns
Huh? Are “chase” and “winds” verbs or nouns?
Other ways you could write your headline with style:
- "JAVA developer, excellent analytical skills, available for new
challenges."
- "JAVA developer with excellent analytical skills; available for new challenges.
or if "excellent analytical skills" is a non-essential appositive element in your clause as in (1) it can be omitted:
Java developer, available for new challenges
or
Java developer available for new challenges.