I have purchased a few presets I like and use them regularly to edit my images. Is it possible to use the presets on the mobile devices...iPad / iPhone when I am traveling? I can't see them on the mobile apps even when I log in? Thanks
No this is not possible. You can't change the available presets on mobile (yet). Only thing you can do currently is to apply the preset to an image, sync it to your device and then on the device you can copy and paste the settings to other images.
Many have asked for the ability to use desktop presets on LR Mobile. Please add your me-too vote and detailed opinion to this feature request in the official Adobe feedback forum: Lightroom mobile: Develop Preset syncing | Photoshop Family Customer Community