Inserting into empty rows in Table with Auto-Increment

[Bryon Sol]

Hello,

I tried to find the answer to this and believe that the answer is no, but I wasn't certain so I'll ask more directly.

If I have a table with an auto-increment column, can I insert records into empty rows without disturbing the normal auto-increment functionality?

For instance a table like this:
Index FirstName LastName
1 John Smith
2 Jane Doe
4 Oscar Wilde
5 James Dean

Notice that a) the next available index would be 6 and that b) there is an empty row at Index=3.

I have a database without referential integrity and periodically users delete rows accidentally. What I would like to do is be able to re-insert the data into the original row where it came from as this is simpler than fixing the references.

Can I simply do an insert into the table at Index=3?

I do not believe that this is possible, but I thought I would ask.