Question edited for clarity,
This is always due to ice build up. It can take up to a week to defrost with drawers closed. You have to remove the top drawer to defrost the bottom drawer if you want to do it faster. It is a known issue on the Quadrio and is mentioned in two of the articles, Mumsnet and Just Answer. Great looking appliance, but bad design.
https://www.google.com/search?q=hotpoint+quadrio+bottom+drawer+won%27t+open
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