If I do my lipids blood test without fasting, is it true that the results would be the same or higher than if I had fasted (but not "lower than")?

Yes. Your results could be significantly higher depending on what you ate and how soon before the test.
Probably. Triglyceride measurements are very sensitive to fasting and diet. Cholesterol measurements are less sensitive to fasting. Surprisingly, dietary cholesterol does not affect the measurement very much. Side effect measurements such as liver function tests are minimally affected by fasting.