If you are not the systems administrator, you probably cannot.
You need the following permissions in the folder that contains the MDB file and the MDW file:
Using only the aggregate permission set: You need either Modify or Full Control to the folder, inherited to its member files and child folders. You need Read on all parent folders.
Using the advanced permission set: You need Traverse Folder on all parent folders. You need List Folder/Read Data, Read Attributes, Read Extended Attributes, Create Files/Write Data, Create Folders/Append Data, Write Attributes, Write Extended Attributes, Delete Subfolders and Files, and Delete on the folder containing the DB files. You do not usually need Read Permissions (though this usually doesn't hurt.) You do not need Change Permissions, Take Ownership, or Synchronize.
Mechanically, you right-click on the folder to see the drop-down, then select Properties. A tab on the Properties Dialog Box will be Security. You can see a list of groups and users in the upper half of the box. You can see a list of the basic permissions in the lower half of the box. If you are in a group, you can add the group name to the upper half, then select that group and check the Allow permissions for either Modify or Full Control. OR after your group is in the list, you can click the Advanced button and check the Allow permissions as noted earlier on THAT dialog box. When you select the advanced permissions, set the scope using the "Apply to" dropdown so that you get "This folder, subfolders, and files."
The catch is that if you aren't in the volume administrator, systems administrator, or domain operator groups, you might not be able to check the required Allow boxes. If you don't have Read Permissions permission, you won't even be able to SEE any of this.
Oh, also check for some smart-ass to have instead checked a Deny column for you in the folder or one of its parents. In that case, you really want to UNCHECK that box. Same limitations apply.