I'm not aware that it's not allowed due to the AdSense policy.
The reason your website was blocked should be a different one.
Without seeing your website, I can't tell you what might be the real reason.
How many articles have you published?
No. That is like asking "will my bank allow 2 different people living at the same address have separate accounts".
If you each use your own gmail account it will be fine. In fact, it is possible for an individual to have multiple adsense accounts...as long as they have multiple gmail addresses - and who doesn't ;o)