@jf4027, Welcome to the HP Support Community!
To print remotely, you have to use the HP ePrint feature where you will have to send an email to the printer. This is the only remote printing option available. You may refer to - Print with HP ePrint for more info.
Unfortunately, there is no option to rename the printer on the HP Smart app.
Hope this helps! Keep me posted.
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KUMAR0307
I am an HP Employee