Is It possible to a rebuild Index with out taking instance offline?

I have this one index that's 85.71% total fragmentation and 55.35% page fullness...why not lets start with an index rebuild, but I get this error.

Can this be done without taking my instance offline?

TITLE: Microsoft SQL Server Management Studio
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Rebuild failed for Index 'idx_last_success_download'.  (Microsoft.SqlServer.Smo)

For help, click: http://ift.tt/1ALkNN3

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ADDITIONAL INFORMATION:

An exception occurred while executing a Transact-SQL statement or batch. (Microsoft.SqlServer.ConnectionInfo)

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Lock request time out period exceeded. (Microsoft SQL Server, Error: 1222)

For help, click: http://ift.tt/1ALkO3i

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BUTTONS:

OK
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