Yes and no. The condensed module has a parameter setting in the module to set the width in a pixel value. The height is defined by the number of rows you set, but can't be specified in pixels.
The full module only has parameters rows and columns, and these set the dimensions of the module. If you want to make minor tweaks, you can edit the code to change the sizes slightly. In the /modules/mod_jfbcinvite/tmpl/default.php, at around line 20, there's some $closedWidth values. You can modify these to change the width of the iFrame, but this may cut off a column (or add additional white space) to the overall view. It may work for you though, again, if you just need to make minor width adjustments.
The Invite module is actually an iFrame display to Facebook. They require this to prevent shenanigans (snagging people's friends IDs, forcing invites, etc). Because of the iFrame, it prevents for full customization of the contents of this module.
Hope this helps.