Unfortunately, it is not possible to change toolbar access for other, specific, users. It is possible to change the toolbar access for all others however, to do this you must ensure you have the permission set in the following location:
Click System Admin then click User Setup.
Select your User or the User you wish to have this ability.
Select the Company option at the top of the page.
Then click Properties from the drop down.
On the Main tab there is the option Can Change Toolbar Access.
From the dropdown select Others.
However, if you wish to restrict toolbar access more specifically, say to just one user:
You need to login to that user's account.
Set the Can Change Toolbar Access flag set to Yes.
Select the Company Preferences option in the bottom left of the toolbar.
In this screen you can tick the boxes for the different applications.
To be more granular with restrictions you can select the Folder icon next to the Application Category.
This will open the sub menu for all applications contained within that Category.
You can restrict different applications as required by unticking the boxes.
Since this is a manual process, if you wish to update multiple users you can raise a request with Support and with some data changes applied, it is possible to restrict access to certain applications, please make note of the restrictions you wish to apply when raising the ticket.