Is it possible to find out by the device ID the fact of installing a certain application through the google api?

Question

Google

In general, the task is as follows: there is a personal account website, a mobile application for Android devices has also been created for it. Accordingly, as many users of the LC website as possible should be transferred to the mobile application. To do this, when entering the site with a certain frequency, a modal window pops up with a proposal to install the application. In order not to annoy users once again, you need to set the display condition, and to do this, calculate whether the user has the application installed or not. Specific users can be calculated by the internal ip of the network (we are talking about the personal account of the Internet provider). But how to calculate whether the application is installed by the user or not? Is it possible to do this via Google Api? Please tell me where to dig)