hi
5 feels tight but is certainly possible. Ultimately it’s down to VM to turn the docs around etc so if they think they can in that, they should know. I left a lot more than that but I had to get a couple of shots done after my medical before they sent mine across and it only took them a few days once I’d submitted the proofs.
remember this though too. Worst case they’re not processed in time, this doesn’t stop the embassy doing the interview. They just complete your bit and wait for the docs then issue the visa.
So either way it's not a major issue. i wouldn't worry