Question

Is it ever acceptable to use a semicolon in place of an apostrophe?

Answer 1

Seems the question is incomplete!

Explanation:

However, I will answer it by sporting mind.

What do know you about a semi colon like ;
Or what do you know about an apostrophe? '

Semicolon is one of punctuation signs that are ended of a depended or an independent clause to start an independent clause.
Like:
I wonder; what was the real question was it?

Apostrophe is a different issue, like it indicates a possession meaning.

The cat licks its paws.

Do you notice it?

Now, your question is like that:

Those are the doctors rooms'; sorry, they are busy now!
Bobby's room is cleaner than Smith's; I am known it.

No, not possible, seems.