Yes. Select the drawing and open More options on its quick bar, or find it in the Objects panel, then set Show on:
- All intervals, the default.
- This and above or This and below, counted from the chart's current interval.
- Only this.
- Or switch single intervals on and off.
Drawings are saved per symbol within your workspace: your markup on one market stays with that market, and switching symbols swaps each market's drawings in.