You can, and you're exactly right. Subject close, background far away is always going to produce an out of focus background. That's just basic optics 101.
I don't think any of the posted shots look remarkable in any way.
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I would spend less time buying "fast Zeiss glass", more time not placing the subject with a pan growing out of his head.
A close subject at f22 would produce the same result, would it? Out of focus background is achieved by either a wide open aperture or compressing the background using a longer focal length. Basic optics 101..
And yes, the snap shot I took on my phone was not something I'd provide a client, nor something I would submit to critique. The fact you pointed something so frivolous out over what is literally a snapshot to demonstrate the function of the phone is pathetic. Hope it made you feel like a big man, behind your keyboard.