Can I make a website like bayt.com with BuddyPress WordPress plugin?

Yes and no ... As others have mentioned you may need to get some functions and web design by others paid resources !

Thank You

Ahmed Houssein has a very good answer. What I can add to it is what you need as hardware will have an impact on the success of your website.

the question we need how we can make a CMS better than wordpress with Laravel , Codeigniter, cakePhp, YII, zend.... framework?

Thank you for the invitation,I have never used boddyPress before, but I think technically it would be 100% possible if you are familiar with plugin developement, then you can add your own functionalities.

https://codex.buddypress.org/plugindev/

Yes, but it will be good if you make the website using a custom framework like Laravel, CI etc, due to complexity of the functionality.

I recommend always to build websites from scratch to have a great control for all functions as for buddypress I never used it :)

With some effort it is possible, but, the performance will be pretty low. So, this method is not recommended.

Yes you Can but with some pros and cons ...

You need to maintain the databases and provide security etc

Thanks for invitation

I am apologies to answer this question because it's not my specialist field 

Gives users the ability to 'like' content across your BuddyPress enabled site.

I agree with specialties answers, thanks for the invitation.