It isn't likely.
It is far from conclusive that ET and Star Wars share the same universe. To draw that conclusion requires a lot of interpretation, assumptions and relying on information from non-canonical sources.
The child wearing a yoda mask in ET strongly implies that star wars is fiction in the ET universe, rendering any other assumptions that could lead to them being in the same universe moot.
While Indy-Earth and ET-Earth seem to both be set in our universe, that is the only reason to assume that they share the same universe, which isn't enough. There is nothing wrong with thinking so, but there is nothing to definitely show it to be true either.
While ET and Star Wars are not likely in the same universe, there is even less reason to think Indy and Star Wars are in the same universe, as there is nothing directly linking them. In fact, Star Wars may seem to be fiction in the Indy Earth due to the name of a bar in Temple of Doom, as pointed out by WOPR in a comment above.
So, no, there is nothing to indicate Indiana Jones and Star Wars are in the same universe.