for example: I want to own 1 March ES 1510 call and write 1 March ES 1510 call at the same time, without those positions netting each other out. The impact on open interest from my trades should be +2, not 0. Is this possible? Is there some terminology for this?
No that is not possible because the broker is required to report your net position. When it used to be allowed in Forex it was called "hedging."
If you have more than one trading account, you could place the trades in separate accounts. Many active Traders have more than one account with the same Broker.