I have the portable pocket steamer. Since my kitchen is small, I just get down on my knees and steam-clean the hardwood. There are sometimes parts that needed wiping up after steaming which I do with a clean microfiber cloth. Cleaning a floor is not a difficult job if you have a good back, a pitcher of water handy and do small sections at a time. And... if you are clear on not wanting to use chemicals. So, I think the portable steam cleaner can do floors but not vice versa, mop-wise. However, they cleverly don't include a mop wand with the portable pocket cleaner, so grovelling on the floor (or having your kids/ spouse/ maid do it) is the only way.

One more thing about the steam pocket hand-held. I haven't tried this yet but possibly with relatively minimal bending you could use the steamer without the attachments to 'blast' it with steam, then simply use a microfiber mop to wipe it. I have a swiffer wet-jet on which I velcro a microfiber floor cloth. I do the same with my flimsy swiffer floor duster thing, which has holes to grasp the cloth on the top of the head.

Simply put, you want a canister steam cleaner. You can buy them at all price points. You can get a Wagner steam cleaner for $80 or a high end Italian-made version costing a few hundred dollars.

Here is a link that might be useful: Wagner

I have the shark canister. It does a fair job. I would give it 7 out of 10. Not for really tough jobs but great for everyday cleaning. The one problem I have found is that it's so much like a canister vacuum that you want to pull it by the hose as you clean. Not a good idea. You have to pick it up to move it. Mine is probably going to die soon because I pulled it by the hose.