I think I understand now. There is no offset parameter for hatch patterns. However, you can most likely solve the problem with a separate hatch pattern in which the lines have the same angle but different positions than in the original hatch:
The hatch pattern at the left is "ansi31" (included with QCAD), the one at the right "ansi31b" (new). You can download ansi31b from here:
Save it into the "patterns" directory of QCAD, then restart QCAD to start using the new pattern.