Can I resize a LVM on LUKS root partition without live media?

When I first started using Linux I set it up with LVM on LUKS just because why not, now I have the following setup ever since:

>>> lsblk                                                                                                                                                                                                                   
NAME                   MAJ:MIN RM   SIZE RO TYPE  MOUNTPOINTS
sda                      8:0    0 447,1G  0 disk  
├─sda1                   8:1    0     1G  0 part  /boot
└─sda2                   8:2    0 446,1G  0 part  
  └─cryptssd           254:0    0 446,1G  0 crypt 
    ├─vgssd-lvol--root 254:1    0    30G  0 lvm   /
    └─vgssd-lvol--ssd  254:2    0 416,1G  0 lvm   /home/ssd
sdb                      8:16   0   3,6T  0 disk  
└─sdb1                   8:17   0   3,6T  0 part  
  └─crypthdd           254:4    0   3,6T  0 crypt 
    ├─vghdd-lvol--home 254:5    0   3,6T  0 lvm   /home
    └─vghdd-lvol--var  254:6    0    15G  0 lvm   /var
sdc                      8:32   1   3,6G  0 disk  
├─sdc1                   8:33   1   1,9G  0 part  
└─sdc2                   8:34   1     4M  0 part  
sdd                      8:48   0 465,8G  0 disk  
└─sdd1                   8:49   0 465,8G  0 part  
  └─crypthdd_wdc1      254:3    0 465,7G  0 crypt /home/hd2

Lately my system is giving me some warnings about space left in root partition, so I want to shrink my /home/ssd and grow /
Is it possible to do it while using the system? Should I?

As far as I understand it is not possible to change the size of a mounted partition.

As a side note: 30GB looks like plenty of space to me. Check if you really need to resize / or if you can trim journals and/or cleanup package cache or whatever: