If you do as much preparation as you can regarding pre-study, getting a medical etc you might manage it. May will probably be quite good, June can turn to custard pretty quickly, maybe not the whole month but a reasonable part of it could be un-flyable. Your big problem would be getting 75-90% of the way through it and then running out of time to finish because of weather.
Will you be able to extend some time if required?
I know of at least one person who ran out of time- twice! because of weather. He completed a restricted NZ PPL but had to come back to do the extra cross country requirements before his full PPL was issued (other countries recognise full PPL's only when doing conversions). Note he was working at the time so was not always avaliable on the good days. If you are just flying it is easier and faster.
The restricted PPL allows limited local flying only and is not recognised by other countries so is not much use (do they still exist?)