People can have objective, as in factual, experiences that point directly to God, that constitute “interactions with God.” In some, the facts are externally observable and verifiable by others. In others, the facts, still objective and not subjective, as in merely felt or just opinions, are internal to the individual.
A good example of the latter is Phil Yancey’s experience. It was objective with communicable facts and related previously here. Examples of the former are relatively plentiful, more than several here: