An awk solution can be:

awk -vq='"' -F'[",]' 'NR>1 { id=q $2 q; g[$5]= g[$5]? g[$5] "* *" id : id ;next }
    END { 
        for (x in g) printf( "echo mv *%s* -t %s\n" , g[x], x )
    }' infile.csv| sh

Remove echo if you were happy with the result.

.
├── infile.csv
├── new
│   ├── E51651_hf_2018-9-19.jpg
│   └── hf_oldX56369_15-10-2014.xml
└── old
    ├── 2014-12-15_T921_F1256.png
    ├── 2018-07_xx54564564T_hfdata.bmp
    └── G5481369oldbackup_2018-01-01.txt

this will move all files belonging to related directory group at once.
about the awk explanation, please look at my recent answer.

An awk solution can be:

awk -F, 'NR>1 { group[$2]= group[$2]? group[$2] "* *" $1: $1 ;next }
    END { 
        for (x in group) printf( "echo mv *%s* -t %s\n" , group[x], x )
    }' infile.csv| sh

Remove echo if you were happy with the result.

.
├── infile.csv
├── new
│   ├── E51651_hf_2018-9-19.jpg
│   └── hf_oldX56369_15-10-2014.xml
└── old
    ├── 2014-12-15_T921_F1256.png
    ├── 2018-07_xx54564564T_hfdata.bmp
    └── G5481369oldbackup_2018-01-01.txt

this will move all files belonging to related directory group at once.
about the awk explanation, please look at my recent answer.

An awk solution can be:

awk -vq='"' -F'[",]' 'NR>1 { id=q $2 q; g[$5]= g[$5]? g[$5] "* *" id : id ;next }
    END { 
        for (x in g) printf( "echo mv *%s* -t %s\n" , g[x], x )
    }' infile.csv| sh

Remove echo if you were happy with the result.

.
├── infile.csv
├── new
│   ├── E51651_hf_2018-9-19.jpg
│   └── hf_oldX56369_15-10-2014.xml
└── old
    ├── 2014-12-15_T921_F1256.png
    ├── 2018-07_xx54564564T_hfdata.bmp
    └── G5481369oldbackup_2018-01-01.txt

this will move all files belonging to related directory group at once.

An awk solution can be:

awk -vq='"' -F'[",]' 'NR>1 { id=q $2 q; g[$5]= g[$5]? g[$5] "* *" id : id ;next }
    END { 
        for (x in g) printf( "echo mv *%s* -t %s\n" , g[x], x )
    }' infile.csv| sh

Remove echo if you were happy with the result.

.
├── infile.csv
├── new
│   ├── E51651_hf_2018-9-19.jpg
│   └── hf_oldX56369_15-10-2014.xml
└── old
    ├── 2014-12-15_T921_F1256.png
    ├── 2018-07_xx54564564T_hfdata.bmp
    └── G5481369oldbackup_2018-01-01.txt

this will move all files belonging to related directory group at once.
about the awk explanation, please look at my recent answer.