That depends where it's hosted and how it's encrypted. Cloud hosts can just reach into your RAM, but dedicated server hosts would need to provision that before deploying the server, and colocation providers would need to take your server offline to install it.
Colocated / Dedicated is not Cloud, AFAICT. It's the "traditional hosting", not elastic / auto-scalable. You of course may put your own, highly tamper-proof boxes in a colocation rack, and be reasonably certain that any attempt to exfiltrate data from them won't be invisible to you.
By doing so, you share nothing with your hosting provider, you only rent rack space / power / connectivity.
At least you can get your own /48, at least if you're under RIPE.
You should only do it if you expect to multihome though, or you're doing some experimentation that absolutely needs a PI address. Please don't pollute the default-free zone just for no reason.
