The real question is - can anything? Bitcoin has a really high value and it will continue to rise, maybe even to around 100.000 USD.
Let's see if any share or currency had such a big value in the history.
Dollar was nowhere near before the inflation brought down it's value:
http://www.usinflationcalculator.com/Record holder for shares is Warren Buffett’s Berkshire Hathaway (BRK.A), which is trading around $300,000 per share (with around 1.200.000 of them issued; there are also class B shares with around 15.000.000 issued and value around 200 USD, just to note).
Record value of gold was around 1.900 USD per ounce (28,35 g).
Let's try and compare Bitcoin to Warren Buffett's share.
Bitcoin is currently worth around 17.000 USD with 16,785,462 of them in circulation.
WB is worth around 300.000 USD wih 1.200.000 in circulation.
Let's roughly devide WB with 16 (Bitcoin is 14 x more scarce). We get around 21.400 USD. So it does have a higher comparable value when comparing with Bitcoin. However, as I previously noted, Bitcoin could go much up, and I predict 100.000 EUR. Then for sure it will be the highest valued individual thing ever (well, except maybe Neymar).
So the final question would be - can we really predict anything about it when it will be a unique thing in human history (if it is not already)? Not at all.
On the down note, I believe that nothing will be able to surpass Bitcoin for the time being. Bitcoin is still a synonim for Bitcoin market which has yet to accept many new investors and they will continue to invest mainly into Bitcoin. However, Bitcoins market share will gradually decrease and we will se what will a distant future bring.