This worked for me:
Check the length property and use ? to avoid undefined errors.
So your example would be:
<div class="comeBack_up" *ngIf="previous_info?.length">
UPDATE
The length property only exists on arrays. Since the question was about objects, use Object.getOwnPropertyNames(obj) to get an array of properties from the object. The example becomes:
<div class="comeBack_up" *ngIf="previous_info && Object.getOwnPropertyNames(previous_info).length > 0">
The previous_info && is added to check if the object exists. If it evaluates to true the next statement checks if the object has at least on proporty. It does not check whether the property has a value.
exported function somewhere)