That depends. There was a mathematically derived anti-slate rules change for the nominations that was going to be brought up in the business meeting, and I haven't heard yet how that went. My guess, based on what I saw last night, is it probably went pretty well. It was hashed out over on Making Light:

• E Pluribus Hugo: Out of Many, A Hugo - the actual wording of the rule

• E Pluribus Hugo: Post-Proposal Planning and To-Dos

• E Pluribus Hugo: Community Q&A

If the rule passed, then what the Puppies (or any other slate) can do next year is all band together to nominate one item per category. If they try to sweep the nominations in each category, like they did this time, then none of their stuff will make it. Which means that if they, or any group, think that the problem is that their stuff isn't even being considered, it's still easy for them to nominate their best stuff, the one piece per category that the group thinks is the best. What they won't be able to do is push all of everybody else's stuff off the ballot, which is what they tried to do this year and failed hilariously.

Edited to add: Just read a comment, over on Making Light, clarifying that the Hugo rules changes don't get voted on until Sunday's business meeting, and that, even if they pass, they don't take effect until they've been ratified at next year's Worldcon in KCMO. So next year's voting will be done under the same rules as this year, so yeah, you may be right -- if the Puppies and the GamerGaters want to sweep the nominations for a second year, and there's no bigger counter-slate, then they probably can do it, one more time. In which case, yeah, expect a big sweep for No Award again.