It is not fraud to have a rent that will increase after a period of time, indeed it is a common and legitimate practice. It would be unethical, and possibly fraudulent, if an agent or broker convinced the would-be tenant to take on a property beyond the tenant's means after the rent increase took effect. That is not common enough to have a special name as far as I know, it would simply be a form of deceptive marketing, or perhaps predatory lending.
If the increase were somehow hidden that would be fraudulent, but it is hard to see how it could work, as any increase would need to be spelled out or at least authorized in the lease to be legally binding. The only way I can see such a scheme working is if the broker found a somewhat naive victim who simply did not read or did not understand the previsions for the later increase.
I recall a somewhat similar scheme in a work of fiction, The Mandeville Talent By George Higgins (author of The Friends of Eddie Coyle). In that book the schemer loaned the victim 50% of the purchase price of a property that the victim intended to convert to a resort on a 10-year mortgage, calculating that the resort would not earn enough to make the large balloon payment, and the schemer would wind up owning the entire property for half-price, plus expensive improvements made by the victim. When the resort did well enough that it was clear the victim would be able to make the balloon payment, the schemer (who was associated with organized crime) had the victim killed so that it could be acquired cheaply from the victim's estate. That could also be called predatory lending, I suppose. A well-written book, IMO.