Probably, but I don't blame the Trump Iowa organizers. Iowa, if the last three results are any sign, is the last state where modern campaigning doesn't work. There's no replacement for camping out in state for most of a year. Guys like Trump and Romney will never have the time for that. Plus there's a strong Christian element that doesn't suffer sinners and heretics gladly.
Watch the South Carolina polls. Cruz has no chance in New Hampshire. If he wins South Carolina he can win the nomination.
I doubt he can beat Hillary or Bernie though.
Why?