Yes, definitely.
Most small business I have dealt with use AWS do just need a VPS. If they are willing to move to a scary unknown supplier I suggest (unknown to them, very often one that would be well known to people on HN) then I suggest AWS Lightsail which is pretty much a normal VPS with VPS pricing - it significantly cheaper than an instance plus storage, just from buying them bundled (which, to be fair to Amazon, is common practice).
My own stuff goes on VPSs.
> AWS Lightsail which is pretty much a normal VPS with VPS pricing
Except it is still Amazon and subject to the same weird billing practices. I once terminated a Lightsail instance and they kept charging me, claiming that I didn't terminate the static IP address associated with it. The IP address itself cost the same as the instance + IP address did.
Now, that would make sense in "real" AWS, but you'd expect it to be more straightforward with a simplified service like Lightsail.