You need to move the ROM or what's inside the from patient PCB to the new PCB.
Wouldn't it be less hazardous to solder a new connector rather ? Is it a standard HDD with a SATA connector or an external HDD with the USB connector directly soldered to the PCB ? Uploading a picture would help.
If having little experience with micro-soldering (or with data recovery in general based on some parts of the question — HDDs don't have “drivers”, and no software can fix a hardware issue, while randomly downloading and trying frantically any software that promises an easy recovery without a clear assessment of the situation is certainly not wise — what was wiser was to ask for guidance on a dedicated forum before doing something irreversible), and no adequate equipment, considering that you have only one shot (unless you're willing to purchase 10 PCBs only to get some training at soldering / unsoldering before attempting it on the one in question), better let someone who already has both take care of it. Perhaps technicians who fix phones would do that for cheap. When faced with data recovery issues, one should be extra cautious about trying things that haven't been tested before with a good level of confidence in a non critical situation, especially if it's for someone else who trusts you to know what you're doing.
Another possibility would be to ship the PCB to a specialized HDD parts reseller, which, as I have read (no direct experience yet), can transfer the ROM from the damaged PCB to a replacement PCB and ship it back for about $50 / 50€. But with only a broken connector it may not be worth the risk, however small, of losing the original PCB. (I wouldn't do that in late December at least, shipping services must be hectic at the moment, even more so with the sanitary crisis.)
Et dites-lui de faire des sauvegardes à l'avenir sinon pan-pan cul-cul !
Est-ce que vous avez dessouder la ROM
Arggh, je hais cette faute, d'une fréquence hallucinante sur les forums francophones... é_è Better stick to english here...