I want to call to SOAP service which is protected by X509 certificate directly from Angular. Any client needs to authenticate through a valid certificate installed in a local trust store.
Can I do this after installing the certificate (https://www.globalsign.com/en-sg/blog/installing-certificates-onto-android-devices/) ?
It's not clear in your question if you need to sign a SOAP message or configure a SSL connection with client authentication. It is not possible in either case.
An SSL authentication with client certificates can not be done directly from an AJAX request. See Using jQuery's ajax() function with an SSL client certificate
A certificate from the browser keystore can not be used to sign a message from JavaScript. See https://stackoverflow.com/a/50208561/6371459
You will need to call an intermediate server that is responsible for making the soap call
