Can we use scrum approach without burndown chart?

Ultimately it depends on what you are trying to measure. If you are new at scrum then your 1st goal is to get the team adjusted to scrum. A lot of times, the scrum master has to work on the mindset of folks. Once the team has adjusted, then we can start looking at burndown/burnup charts. Burndown chart is the next level after your team is comfortable with the new way of working. For a new team, as a SM, I keep eyes on the burndown chart to see how my team is doing i.e. are we closing stories fast enough but I start having the discussions with the team once they have settled in. You don't want the team to close stories just so that the charts are perfect. Hope this helps.