Yes, easily. No disrespect to the previous poster, but that's a 6 year old deer. His hocks and body condition for this time of year suggest he's pretty well opted out of the breeding pool.
Are most photos of him at night or do you have him in all lighting conditions? Those deer typically go almost completely nocturnal. Your one daylight photo of the deer was under dark, rainy conditions in the middle of the afternoon. More evidence of his preference for low light to me. That's only my opinion and it is worth what you paid for it, or less. I'm no expert.
No disrespect taken, I put the plus sign to indicate that I think he could easily be older, and that he's one the OP needs to get eyes on and confirm. I would not be surprised if he was 5.5 or 6.5 or even older.