Will this code generate a duplicate on the long run?

I have been banging my head for two days now trying to make sure the random generator method won't generate a duplicate. This I had to do with loops only without importing any libraries. I have come to this solution, will this code generate a duplicate on the long run? If yes please help.

    int [] vargu1 = new int [5]; 

    for ( int i = 0; i < vargu1.length; i++)
    {
        int numriSekret = (int) (Math.random() * 10)+1;
        vargu1[i] = numriSekret;

    } 
    System.out.println(vargu1[i]);  
}
    System.out.println();
    for ( int i = 0; i < vargu1.length; i++){
        for ( int j = 0; j < i; j++){
            if (vargu1[i] == vargu1[j])
                vargu1[i]++;
            }
            System.out.println(vargu1[i]);  
        }