You can say "I hope there are..." "I hope there will be..." "I hope there are to be..." "I hope for there to be..."

Unless there's a modal verb, you need a conjugated form of "be" in this construction, so only the first one works. Without a modal verb: There is/are... There was/were... There will be... There has/have been... There had been... There will have been... With a modal verb in the Present Simple tense you can use the base form of "be" (not the full infinitive with "to"), but for the Present Perfect tense you need the perfect participle: There should be... There should have been... There could be... There could have been... There might be... There might have been...

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But I have heard Americans saying "I don't want there to be any hard feelings between us". "Want" is not a modal