It is possible.
Make sure you prepare Qfield project right for mobile device. First check your layer is not read only in Project properties then configure project in QFieldSync plugin:

Package project with plugin:

This should produce _qfield.qgs and data.gpkg files that you need to copy on mobile device, both in same folder.
When you select feature in digitizing mode, as needed for drawing, there should be trash symbol next to it in attribute tabel:

I tried using QField data directly from Drive but that does not work, you need to download all the files and open project from the folder that is stored on the device.
Qgis version: 3.4, Qfield v.: 1.0.-rc3