Partly. Dashlane has no program to install on any computer any more, Windows included. It works through a browser extension, and that extension runs on Linux the same as anywhere else.
Dashlane by Dashlane · Security & passwords · Works in a browser
Dashlane retired its desktop apps and moved to what it calls a web-first experience. On a computer you use the
browser extension, which opens the vault inside the browser. That is how Dashlane works on Windows now too, so
switching to Linux changes nothing about it.
Install the extension in Firefox or Chrome on the Linux machine, sign in, and every saved login is there. There
is no Linux-specific setup and no separate download.
The limit is the same one Windows users already live with. Because there is no desktop program, Dashlane can
only fill passwords into web pages. A password for a program that is not a browser has to be copied out of the
vault by hand.
If that bothers you, this is a reasonable moment to move to a password manager with an actual Linux app.
Exporting from Dashlane and importing elsewhere takes a few minutes, and you are already changing everything
else.