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Will an HDMI to DP adapter work for Daisy Chaining?

I am looking to set up dual monitors to my work pc. The GPU of the computer is on the lower end and only has a single HDMI port and a VGA port. The two monitors I have do not have any VGA ports so the only functional port I have access to is the single HDMI.

I had an idea to get an HDMI -> DP cable to run from the tower into the first monitor and then daisy chain the second monitor to the first. Will this setup work as intended?

(The two monitors are Dell)