Many are not going to be upholstered as a stand-alone piece – the cover may not go all the way along the rail like the 1 arm tuxedo in the last listing. Also they’re going to have those brackets, but they can be easily removed; problem is that they’ll also leave holes. You may be able to order one specifically without the bracket, but it could take a long time, as they make them that way as part of the process; it could take a while until the next cutting of that particular frame.
All of that said; you can get chaise lounges made to be stand-alone pieces. A few examples:
So yeah, you can find that kind of stuff near you, or have one shipped.