Yes, it is possible without any restrictions or limits to self-host Lowcoder.
You can find here more Information:https://docs.lowcoder.cloud/lowcoder-documentation/setup-and-run/self-hosting

Mobile Applications are separated in 4 areas:

1. Web Application with Responsive Character (Can be displayed on Desktop and Mobile)
2. Web Application with Mobile Dimensions (makes sense only to display on Mobile)
3. Web Application with Mobile-optimized Components (coming in Lowcoder v2.5)
4. True native iOS and Android Apps - not yet supported. We think we start this year to make it possible - but it will cost us at least 6 months to realize this)

We need to update:

3. Web Application with Mobile-optimized Components (coming in Lowcoder v3.x)
4. True native iOS and Android Apps - are supported now. We have a service provider which we will activate in an upcoming release - and with it's help you can turn a Lowcoder App into a mobile native app - incl publishing on the Apple Store and Google Play