No, you can only have one recording secretary active at one time.  If you have a second recording secretary, you can share the position.  

The board administrator can change the recording secretary by following these steps:

Step 1

Go to Board Settings

Step 2

Select Recording Secretary from the side menu

Step 3

Using the left side radio buttons select the appropriate person

Step 4

Click Options and then Save, you will see that the 'Current Recording Secretary' has the new name beside it