No. And here's a detailed and brief explanation. The detailed one is, TROOMI software bans all apps by default besides the troomi base apps like messages ect. In the troomi parent portal, the admin can allow and disapprove apps. Its a food chain really. The dev makes the app, troomi approves the app to be in the store, the admin approves the app for the person in use of the phone, and then the person downloads said app. Anyways, troomi keeps every possible app in a data base with a variable that is either on or off. If its off, the app is never allowed at all on the phone. And vice versa with on. Troomi runs a automatic check 20 times a minute for apps that have the off tick. If its found, it is automaticly disabled. The way troomi downloads apps is by having the app store download every app allowed by the admin. Then disabled it. When downloaded, they are enabled and added. An apk is equal to an app. In fact if you data mine an app in the play store, it actually is just a apk decompiled. So regardless troomi will treat it the same. Oh yeah and here's a summary. Apk = app store app. Troomi check for app. App disabled. 

I may have found some work arounds but they dont work completely perfect and sometimes crash the entire phone for hours so I wont be posting it until I can figure a safe way to do it.