Not without backup, repartition, mkfs and restore of at least c0d0p (assuming the partitions are numbered sequentially according to on-disk layout).
If you were to go to all the effort of doing that, expend a little more effort to install and configure lvm and use logical volumes rather than partitions - that'll give you a lot more flexibility the next time you need to grow or shrink a filesystem (or if you add a second disk).
(also, it's hard to see why anyone would even bother making lots of little partitions on a small disk these days. It used to be common practice, but disks used to be tiny too. these days, the hassle and inconvenience it causes more than outweigh the minor benefits)
So, the short answer is no.
However, you can make a directory on /apps (e.g. /apps/stuff) and move+symlink files from / to /apps/stuff. For example:
mv /usr/share/doc /apps/stuff
ln -s /apps/stuff/doc/ /usr/share/
as long as you don't move any files or directories that are required at boot time (including all of /etc, /bin, /sbin), everything will keep working (although you may have to reboot or at least kill and restart some processes if any of the files you moved are held open by some process)
BTW instead of mv, it's generally a better idea to copy the files, as long as you preserve owner, group, and permissions. e.g. use
cp -a or
rsync or even the old workhorse of
cd /path/to/src ; tar cf - . | (cd /path/to/dest ; tar xf -) Then when the files have copied, either delete them (or move them out of the way temporarily) and create the symlink. when that's done, test that everything is working correctly - if it is, then delete the original from the root fs. e.g.
rsync -ax /usr/share/doc /apps/stuff
mv /usr/share/doc /usr/share/doc.bak
ln -s /apps/stuff/doc/ /usr/share
# do your testing now
rm -rf /usr/share/doc.bak
Note that it is important to leave the trailing / off the source argument in rsync here (i.e. use
/usr/share/doc rather than
/usr/share/doc/) otherwise rsync will think you want to copy everything in /usr/share/doc/ to /apps/stuff rather than to /apps/stuff/doc