That’s not how 802.11 works. If your device can’t connect to a given BSSID that’s broadcasting an SSID it wants, it will put that BSSID on an ignore list and try the next one, whatever the received signal strength.
You can of course saturate the entire spectrum, but that breaks every network, not just the SSIDs you’re "waging war" against, and will probably get you a visit by the FCC sooner or later.
Maybe you could broadcast thousands of spoofed BSSIDs; I have no idea about the legality of that, and the legitimate operator of the SSID might not find that too funny and take legal action against you as well, as that would be pretty transparent denial of service on a public band.