Yes, if you have the necessary access rights on your server.

ssh root access

for example https://webhostpython.com/pythonhosting.html give you a web ssh client to manage and configure your deploys, but a shared hosting is not recommended for anything more complex than PHP websites, not even including sites built using more complex php frameworks

like I said in my answer: +1 for VPS. you could find very good prices on digital ocean droplets

@Axel you don't need the root account, an user in the sudo group is enough to create and manage multiple Odoo environments in one server.