yes of course , because bitcoin needed technology blockchain. and blockchain will produce many coins with sophistication.

Indeed. Even without bitcoin, blockchain still can run. There are so many coins in the market with a high potential. It just happened bitcoin is too popular and some coins are not. Other cryptocurrencies can rise to the top.

I think that if bitcoin disappears for some reason, certain coins will be able to take its place as the leader of the crypto currency. It can be ethereum, or bitcoin cash or any other successful coin that will manifest itself in the future. Just for transfer to fiat will already use these other coins. Crypto currency is constantly being improved and therefore you need to be prepared for various changes in the rating of any of the digital coins.

Blockchain is is a channel through which bitcoin transactions take place, it supports other alt coin transactions too and therefore can be independent of bitcoins

Let's get from the start. Blockchain is distributed ledger technology, where data are shared, synchronized and replicated across multiple sites, countries, or institutions !

Institution is  UK Government, Office for Science. January 2016. Retrieved 29 August 2016.
https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/492972/gs-16-1-distributed-ledger-technology.pdf

Blockchain is created before Bitcoin by inventor Kelce S. Wilson, and patented in US patent office
http://www.peddal.com/patents/8135714_Wilson.pdf

Public Electronic Document Dating List (peddal)

 Banks are investing heavily in distributed ledgers as a cost-saving measure and a way to reduce operational risks via ''Restructuring and Innovation in Banking'' agreement.
The future use of distributed ledgers is expected to monetize the Internet of things in a programmable economy.

So, Blockchain will not just survive, but will be implemented in many different ways, not as "Blockchain", but as a Distributed Ledger (Shared Ledger) !

without an incentive in the form of monetary compensation from the network, the block will lose its effectiveness. LedgerX creates products for financial institutions that use Bitcoin. The company raised about $ 1.5 million of venture capital and is looking for additional financing.

You can not survive without bitcoin because if only Bitcoin is working with Bitcoin, or if Bitcoin is dead or ending, the room starts sinking after a few days.

Yes blockchain as a technology will survive even without Bitcoin.  Bitcoin was just the first application of this technology.  I think we are going to see a lot more case use of this new technology in the future.  Banking, retail, supply chain, identity are some of the applications being looked at seriously today using the blockchain distributed ledger. 

Yes, Blockchain will survive without the BTC.
In theory, the only thing that's needed for Blockchain is the Internet.
So the Blockchain is unlikely to disappear.