If you're asking, say, can you baton pass Aqua Ring and then use the move again to heal more, no.
If you're asking if, e.g., a Smeargle can use Ingrain and then Aqua Ring to heal more HP, then yes, the two moves will stack.
EDIT: so I guess you're asking if you can use Aqua Ring/ Ingrain multiple times? The answer is no; you can only use it once and it will fail if you try to use it again.