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No, because trademarks given by USPTO apply for a specific kind of product or service. It’s never a blanket protection for all situations.
So first on Discord’s website we see info about their company https://discord.com/company-information
Discord Inc.
Discord Inc.
444 De Haro Street
Suite 200
San Francisco, CA 94107
United States of America
And then when we go and search in USPTO we can see the registrations they have for the name “Discord”
For example they have
> Word Mark DISCORD
> Goods and Services IC 045. US 100 101. G & S: Social networking services in the field of gaming. FIRST USE: 20181000. FIRST USE IN COMMERCE: 20181000
> Registration Number 6254199
https://tmsearch.uspto.gov/bin/showfield?f=doc&state=4804:5l...
And they also have
> Word Mark DISCORD
> Goods and Services IC 041. US 100 101 107. G & S: online game services, namely, providing on-line computer games; organizing community cultural events; organizing community sporting events, organizing educational seminars, workshops, and conferences in the field of communications, online gaming, online communities and social media; providing non-downloadable webinars in the field of communications, online gaming, online communities and social media
> IC 042. US 100 101. G & S: rental of computer game programs and computer game software; online game services, namely, providing temporary use of online non-downloadable game software; providing computer game subscription-based temporary use of non-downloadable game software
https://tmsearch.uspto.gov/bin/showfield?f=doc&state=4804:5l...
And they have another few as well probably. Didn’t read all of them.
With this Discord can protect themselves and their reputation within their own verticals.
Other people can still have a decent chance of being able to register a trademark for an unrelated product or service named “Discord”, as long as it is noticeably unrelated to the existing marks.
So for example maybe I could start a theatre and get a trademark named “Discord” accepted for my theatre.