No, the VPC does not support installation of software by users. For Common Software List, please refer to:
VPC for Staff: https://its.hku.hk/services/pc-and-software/virtual-pc/common-software-list-supported-peripherals-for-vpc-for-staff-and-rpg-students/
Communal VPC: https://its.hku.hk/services/software-download-pc/virtual-pc/common-software-list-for-communal-vpc/