Wandering Traders only do trades and explore the world like a merchant which doesn't have a profession block or a bed that requires them to interact with. Meaning I assume even if you wanted you can't breed a Wandering Trader either but I could be wrong about that.
If you mean interference of walking into blocks and getting stuck I just assume it's their AI as that can happen. If you wanted to capture one I'm not too sure without mods if you can do that, such as Fabric Pokeballs or so to capture mobs compared to just putting the Wandering Trader in a pit/pen/room so they can't get out of it and you can still trade with them. But I haven't tested this myself... yet.
What I mean by interfere (with a bed) is creating a new village or extending a village in a way the could interfere with a breeder or an iron farm, or claiming a job site that would be for a regular village in a trading hub.
What I mean by capture is I've put one in a minecart, named tagged him (and for now he stays in a very ugly 3x3x3 netherrack shelter)
Just thinking now that if his trades go out of stock, there is probably no way to re-stock.