Is there a way to import a user's .pst file through Windows Exchange Server 2010 instead of going to each user's computer?

In Exchange Server 2010 SP1 and above importing PST files into mailboxes is performed using Mailbox Import Requests. These are similar to export requests in that they are processed by a Client Access server.
Check below article for step by step to achieve that
http://exchangeserverpro.com/exchange-2010-import-pst-files-mailboxes/

Before SP1 you would have to install a copy of Outlook on the Exchange server and use a PowerShell command that looks like below (once you had granted Import/Export rights);
BEFORE Exchange 2010 SP1
Get-Mailbox | Import-Mailbox –PSTFolderPath C:\Folder_Containing_PST_Files

http://www.petenetlive.com/KB/Article/0000443.htm

Mahesh

You can do this via powershell. You need to have Full Mailbox permission or create a new Management Role Assignment Role Group.

Use the below command to add Full Mailbox Permissions

Add-MailboxPermission -Identity <MailboxUserName> -User <user Granting Access> -AccessRights FullAccess -InheritanceType All

Example
Add-MailboxPermission -Identity "sjones" -User "will" -AccessRights FullAccess -InheritanceType -All

Once you have full Mailbox permission you can import the PST Files. Use below syntax...
New-MailboxImportRequest -filepath <PSTfilePath.pst> -Mailbox <UsersMailbox>

Example
New-MailboxImportRequest -filepath \\server1\share\sjones.pst -Mailbox sarah.jones

All mail items will go directly in to the Inbox of the users Mailbox. If you want to specify a specific folder you can use the switch -TargetRootFolder

Will.

Is there a application that would do the import…something with a GUI?

You only have 7-10 users. Using Powershell is pretty easy. Just follow the examples above and you will be fine.

A good GUI based tool is below not free but works well.

Exchange Server PST

Will.