eric jiga not it will not work without it. Well, not properly anyway. That little tab holds down the cable to make proper connection with all the contacts in that connector. You’ll find if you do not use it, the display will most likely not work. That tab is really hard to see but some of those have little bumps on the ends that insert into the connector. You’d need to post a macro picture of this to see it :-) .
Worst case scenario would be having to replace the connector. It is possible but requires some pretty good skills and tools to solder it on.