Can Schengen visa be rejected?

Related questions

1. What is non Schengen?
2. Can I visit Ireland with UK Tier 2 visa?
3. Is UK visa valid for Schengen?
4. Can I visit Belfast with UK visa?
5. Why is Schengen visa rejected?
6. Why European visa is called Schengen?
7. Can I work in UK with Ireland Visa?
8. Can I immigrate to Ireland?
9. Can I travel to Dublin with a UK visa?
10. Can I travel to Europe with Irish work visa?

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17. #illegal
18. #activities
19. #hence
20. #applicant