Can Adobe muse can be use to make a two sided multi vendor website such as ebay
No. You would need a stable CMS for this with shop-elements and all that stuff.
People have to be able to login and everything, you have to get back to them.
You might find some widgets on "musewidgets.com" but, …
There´s something like MuseXpress, you transform your site, done in muse to WP, but I am not sure, if this will succeed for you.