Nope. If you don't have Google Play on your Android device, you can install the app via F-Droid or direct download and it should work fine.
PSA from the developer mailing list:
>The beta will expire on 21 October. When it expires, your contacts and messages will be lost. The expiry period is designed to limit the impact of any security issues and allow us to make incompatible changes before the 1.0 release.
So be ready to start your social graph from scratch after the beta ends.
If you haven't already done so you might want to give a read to the Whitepaper Download from this page
https://getsession.org/ It's an amazing concept based on Onion routing. Metadata resistant and fully encrypted
Bridgefy posted about security updates it did October 2020 here. I don't know of any independent reviews, so I can't say if it is practically secure.
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Briar has been reviewed, and should be sure. As I understand it, it only uses bluetooth to share Forums and Blogs (here), and then only using other users that have already subscribed to that Forum/Blog. This makes it more secure in some ways, but also limits its functionality (getting a message out to all members of a protest would require them all joining the same forum, and be contacts with a nearby user).
Best of luck, and be safe.