The terms of your probation may well require that you not leave the country! Follow the law!
Check with a lawyer in your locale to discuss more of the details.
Good luck to you.
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Can they check? Yes. Will they? This is a question of possibility vs. probabilityy and is impossible for any of us to handicap for you. In most circumstances, I have been able to get our clients here in NJ a judicial approval for the international travel that will not be a basis for a VOP. Check your probation conditions to determine if this travel is allowed under your probation terms. Good luck.
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I agree both previous answers, the country of origin may ask questions and if you are not honest and they catch you, you may be sent back or detained and returned. You could check with the local consulate ahead of time and get this sorted out first and do not forget to get court permission to leave the jurisdiction because a probation violation will land you back in front of the Judge.