Yes, you can. But you have to conform to license requirements:
It allows you to:
freely download and use Apache software, in whole or in part, for personal, company internal, or commercial purposes;
use Apache software in packages or distributions that you create.
It forbids you to:
redistribute any piece of Apache-originated software without proper attribution;
use any marks owned by The Apache Software Foundation in any way that might state or imply that the Foundation endorses your distribution;
use any marks owned by The Apache Software Foundation in any way that might state or imply that you created the Apache software in question.
It requires you to:
include a copy of the license in any redistribution you may make that includes Apache software;
provide clear attribution to The Apache Software Foundation for any distributions that include Apache software.
It does not require you to:
include the source of the Apache software itself, or of any modifications you may have made to it, in any redistribution you may assemble that includes it;
submit changes that you make to the software back to the Apache Software Foundation (though such feedback is encouraged).