I don't think so. The USB camera on the Pi is not visible to the USB camera driver on the host as it is not connected to the local USB bus. And there is no other standardized protocol that could remotely transfer the camera stream to your host computer.
Depending on the OS you run on your Pi there might be some possibilities but none of them is going to be straightforward. If it is a Linux based OS you might be able to use V4L which should have an option to access a camera device remotely over network from another V4L client. However I have never done that and suspect it to be a difficult thing to setup and make to work.
If it is Windows 10 you might be able to do something similar with Windows .Net. Again, this won't be trivial to setup and is not a standard operation mode.
Other solutions might be to install a VLC server on your Pi and access that from a VLC client. It's not a direct camera access method and getting the data from the VLC client into LabVIEW will be an extra challenge, but might be working well enough.