Yes, Feishu group files can be set to allow members to download. The specific steps are as follows:

1. Enter the Feishu group that needs to be set and click the "Manage" button in the upper right corner.

2. In the management menu that pops up, select the "File" tab.

3. On the "File" page, find the file that needs to be set and hover the mouse over the file. Three small dots will appear on the right side of the file. Click and select "Edit".

4. In the edit window that pops up, find the "Download Permission" option and set it to "Downloadable only by administrators" or "Downloadable by everyone". Select according to your needs.

5. After the settings are completed, click the "Save" button at the bottom of the window.

The above steps can easily set whether Feishu group files are allowed to be downloaded by members. Note: Only administrators can perform this operation.