You can definitely put in a “safe claim.” But, it must be a different owner and trainer and the horse must return to the new trainer’s barn post-race. The money (claim price and state tax) will be taken out of the claimant’s account, so it is a significant favor, but one that is done from time to time.
In addition to tax, some trainers will charge their owners a fee for claiming and some will charge a percentage or a fee when a horse is claimed from them.
In racing, the racing commissions look at the individuals behind corporate entities when licensing - all partners must be licensed as owners.
If the stewards discover any shenanigans, the guilty parties can be fined and/or suspended and the horse can also be banned from racing for a period of time.