I do not have a smartphone and have had no problem being a customer of multiple top banks. They strongly _encourage_ you to use apps, but if smartphones are against your unspecified religion, alternative paths always appear.
In EU? For internet banking you need a mobile phone or a dedicated hardware token (thing you own), as part of the Strong Customer Authentication (SCA) requirement under the PSD2 regulation: https://ec.europa.eu/newsroom/fisma/items/658958
I know in some countries (UK, Germany, Switzerland, Austria) they're used to hardware tokens already since they were in use long before PSD2. But I seriously, seriously doubt banks in e.g. Poland specifically implement support for hardware tokens issued to very few annoying customers who refuse to use an app but otherwise want internet banking.
In EU? For internet banking you need a mobile phone or a dedicated hardware token (thing you own), as part of the Strong Customer Authentication (SCA) requirement under the PSD2 regulation: https://ec.europa.eu/newsroom/fisma/items/658958
I know in some countries (UK, Germany, Switzerland, Austria) they're used to hardware tokens already since they were in use long before PSD2. But I seriously, seriously doubt banks in e.g. Poland specifically implement support for hardware tokens issued to very few annoying customers who refuse to use an app but otherwise want internet banking.