Yes please get in touch with the HR because they are the ones that are clear on the progress of your recruitment. A rejection letter would be sent out if you were to fail any stages of the interview. So for now, no news means good news.

Just to give you a gauge of the waiting time

Application - Video Interview: 1 month
Video interview - first interview: 1 month
First - Closing interview: 1 month
Offer after closing interview: 2 months