HA in general can be set up on cloud platforms, there are some threads on this if you do a search, for example using AWS: Moving Home Assistant to AWS
But why you would prefer this over running it locally I couldn’t tell you. You will get 100% dependent on your internet connection. Setting up a remote instance to control local devices is a bit backwards if you ask me.
You can definitely set up Home Assistant on a remote VPS server for your Tuya Local setup. It’s a great way to keep everything organized and easily accessible. If you’re looking for a reliable option, you might want to consider an offshore VPS. They often provide good performance while maintaining privacy, which can be a plus for smart home setups.
For instance, I found that a VPS like the one mentioned at https://zynoo.com/offshore-vps.html can give you the flexibility and speed you need. With a solid server, you can manage your smart devices seamlessly.