You can go into the apache sources from where you installed apache in /Lamp and run:
/Lamp/apache/bin/apxs -n dav_module -i -a -c modules/dav/main/mod_dav.c
/Lamp/apache/bin/apxs -i -a -c modules/dav/fs/mod_dav_fs.c
to add dav support in that apache instance.
Then you can try to load the module from the other apache instance and see if it works.
LoadModule dav_svn_module /NVS/apache/modules/mod_dav_svn.so
If not, I'm afraid you have to recompile subversion again risking to break the working one