The garden of Eden was a physical place. It was believed to be situated south of Lake Van in Turkey. Ancient Turkey.
We cannot know the exact location of Eden because of the flood. The flood could have changed the geography of the whole area. It almost certainly would change how the 4 rivers flowed. Those 4 rivers are really the only way of knowing the exact spot of Eden. You can speculate the exact spot, but nobody knows for sure.
Here is an article from Insight from the Scriptures Volume 1:
"The traditional location for the garden of Eden has long been suggested to have been a mountainous area some 225 km (140 mi) SW of Mount Ararat and a few kilometers S of Lake Van, in the eastern part of modern Turkey. That Eden may have been surrounded by some natural barrier, such as mountains, could be suggested by the fact that cherubs are stated to have been stationed only at the E of the garden, from which point Adam and Eve made their exit."
"With the sudden opening of the ‘springs of the watery deep’ and “the floodgates of the heavens,” untold billions of tons of water deluged the earth. (Ge 7:11) This may have caused tremendous changes in earth’s surface. The earth’s crust is relatively thin (estimated at between 30 km [20 mi] and 160 km [100 mi] thick), stretched over a rather plastic mass thousands of kilometers in diameter. Hence, under the added weight of the water, there was likely a great shifting in the crust. In time new mountains evidently were thrust upward, old mountains rose to new heights, shallow sea basins were deepened, and new shorelines were established, with the result that now about 70 percent of the surface is covered with water. This shifting in the earth’s crust may account for many geologic phenomena, such as the raising of old coastlines to new heights. It has been estimated by some that water pressures alone were equal to “2 tons per square inch,” sufficient to fossilize fauna and flora quickly.—See The Biblical Flood and the Ice Epoch, by D. Patten, 1966, p. 62."
So to answer the question, no it is very unlikely. If Eden had mountains everywhere, but east, then Eden was in a small valley of sorts. The genesis account says even the tallest mountains where covered. This means that the valley would have been underwater for quite a long time. It is speculated that the water took almost a year to subside. That is more than long enough to drown any plant life that was in Eden. The site of Eden may still exist, but because of the flood it would be vastly different than what it originally was.