It is possible to restore select files from a VM backup using Veeam Backup And Replication. A guide can be seen below

1)  In Veeam Backup and Replication, on the home tab select the restore option then restore from backup. You should get the options below, we want to select "guest files restore" 

2) Select the OS, for this guide I will using a windows server but this can also be done on linux machines. Select the VM you wish to browse and then the restore point in time

3) A File explorer window will open where individual files and folders can be selected and restored:

4) Right-click the necessary file or folder, select Copy To.

5) In the opened window, specify the location to which you want to restore files or folders. This location is a network shared folder or folder on the backup server