Unetbootin or Universal USB Installer
If you create a >3GB FAT32 partition on the pendrive, you can use UNetbootin to install Live USB to the partition without harming anything on another partition: https://unetbootin.github.io/
Unetbootin has a version for Windows, Linux and Mac.
You can also use this method to install multiple OS to multiple partitions on a flash drive using UNetbootin.
Universal USB Installer will also install to a partition on a USB without overwriting other partitions: https://www.pendrivelinux.com/universal-usb-installer-easy-as-1-2-3/
Etcher, dd, Rufus, Disks, mkusb and Win32DiskImager, will overwrite the entire disk.
Partitioning:
Since your flash drive is 32GB it is likely formatted NTFS. This means that you can use Windows 10 Disk Management to shrink the occupied partition and create a new FAT32 partition for UNetbootin or UUI. If the drive is formatted FAT32, you will need Windows third party software or Linux to create a second FAT32 partition.
Cut and Paste
Using UNetbootin or UUI, you do not need to cut and paste any pendrive data. on your machine