I have released a "development" Version of the WME Lite engine for Android on Google Play:https://play.google.com/store/apps/details?id=org.deadcode.wmelite.development
If you just install & run, you will see the "Molly" actor only in an empty scene.
But if you connect your device to a PC and place a game onto the tablet (either packages or all the project's files, but please not both - I don't know what happens then), and then start the app, you might see your game running on Android.
The app is compiled from my WME Lite branch and includes the script compiler. If you copy all your game files, make sure not to copy the package folders, only the content. You can easily check this - the "default.game" file should be in the root folder of your storage afterwards. If it is in a subfolder, it won't work.
The changes from my branch should not have too big impact. I'm using SDL_Mixer instead of BASS (to avoid cost of a license), and I have stripped down the FreeImage library, so it could be that some file types are not supported. MP3 files won't play, for instance, only ogg. I don't remember whether I kept .wav files in. Image support is also limited to .png .jpg and .gif.
The app tries to "guess" the folder where the packages or the game files were placed. Unfortunately manufacturers have a lot of freedom there, so I can't guarantee that the folder you place your files into will be found. (In case you know your internal folder name just let me know - I can safely expand the list.) If you know your way with the Android SDK, you can also use the "adb" command line tool to copy ("push") files onto the device. Although highly discouraged, I have not found any device yet that does not handle "/mnt/sdcard/" as target folder - even if mapped to sth. different internally.
Depending on how you left the app (exiting, switching to a different one, just exiting to home screen) it might not always pick up your latest changes to the files & packages. Make sure to remove the app from the "recent apps" list then.
Some settings can be modified with a "settings.xml" in the root folder (e.g. next to your packages resp. files). I suggest to use sth. like this for a start:
<?xml version="1.0" encoding="UTF-8"?>
You can change the "DebugMode", "LogWriteMode" and "PixelPerfect" options as you like (just set those that you need to "1").
This way you can easily test for yourself how your game would work on a touch platform. All events are "left mouse button" events, and you will unlikely hit coordinates exactly.
I hope this helps if you "just want to know how a game looks on a touch platform", and with the script compiler available, you can even try out things fast.
If you experience an app crash, please report it (Android will ask you whether to report or not, please do!). But if something else doesn't work, I can only help you if you know your way with the "adb" command line and send me the log output ("adb logcat").
For iOS I doubt that the same thing is possible. I have no idea how such a "development app" could pass app review, and I have no idea how to supply the files separately to the app.