A Microsoft file hosting and synchronization service.
Please confirm you are asking about 365 Family.
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Consumer OneDrive
Originally, 365 "Home" allowed the owner to "share" with up to 4 other people, total 5
Now 365 "Family" has been upgraded to allow sharing with up to 5 other people, total 6
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So in in theory you could share with yourself via one more "dummy" email account.
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For 365 Family/Personal you can buy additional onedrive space at US$2 per month per 200GB.
https://www.microsoft.com/en-us/microsoft-365/onedrive/additional-file-storage
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Frankly, this "offer" is a massive cash grab by MS. It is like being nibbled to death by ducks. On this offer (it is NOT a "deal") 1TB would be 5x$2 PER MONTH. That is $120 per year. You might as well use another batch of dummy accounts and get another 365 Family subscription for $100 only, giving you another 6TB of OneDrive space!
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Your other "better" option is to spend that $100 / $120 PER YEAR on external USB Disk drives. You can get up to 5TB for around that price point, one-time payment. They will last several years. A substantial saving. https://www.amazon.com/External-Hard-Drives-Storage-Add-Ons/b?ie=UTF8&node=595048
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Business OneDrive
If you have a 365 "Business" subscription, then yes the administrator can bump up your storage limit
Upgrade Business OneDrive from 1TB to 5TB to 25TB
There is one more increment to 100TB, I just can’t find the article
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https://docs.microsoft.com/en-us/microsoft-365/admin/setup/set-up-file-storage-and-sharing
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Manage site storage limits using PowerShell
https://docs.microsoft.com/en-us/sharepoint/manage-site-collection-storage-limits
https://docs.microsoft.com/en-us/onedrive/change-user-storage
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Set manual limits, not predefined to 1 tb / 5 tb / 25 tb
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