Yes, you can follow Twitter accounts without using the service

You can still follow Twitter accounts’ Timelines without exposure to their tweets’ comments and without the advertised/promoted Tweets. You don’t have to sign into Twitter at all! If you’re uncomfortable with bots, trolls, disinfo agents and shitposters, you might add your favourite Twitter contributors’ feeds to your favourite Really Simple Syndication (RSS) application.

Twitter’s first REST API supported RSS until June 2013, when it was replaced by API 1.1. Twitter has no known plan to reintroduce support for RSS. Here are two options:

TwitRSS generates a URL formatted for easy RSS from the Twitter account you input. https://twitrss.me/

Here’s a different option for creating a Twitter RSS feed:
https://www.lifewire.com/create-a-twitter-rss-feed-3486601

According to the Twitter developer’s blog, the company will remove access to the “streaming services” portion of its API starting in August 2018. What that essentially means is that any app that features a Twitter feed as part of its primary function will be worthless. Twitrss.me doesn’t use the Twitter API, according to its developer it originated as a screen-scraping script.