It is possible to be a priest with certain handicaps. However you must be capable of carrying out the consistent ministry required of a priest. Daily mass, hearing confessions, visiting the sick & elderly etc. Also study and travel if required.
I am hoping to enter the Dominican Novitiate in September and I have Epilepsy. This could be an obstacle to Ordination - However my seizures currently are well controlled and would not interfere with ministry.
It really depends on what you have and how bad it is. I know that if you lack mobility or are wheelchair bound it is difficult.
I’ll keep this in the prayers,
God Bless