Hell, you can do whatever you want! Practice is cool. I am just not fully sure that you will get the most out of it by just hitting balls.
If this were me, I would practice with my modern gear and break out the hickories when I had the time and a group that wanted to give them a try on the course. Maybe play them during the winter months or 10% of your rounds throughout the year. Not sure you would get the value out of practicing with old gear.
The value and growth as a golfer you will get by playing hickories will come by playing longer shots into greens, being forced to be creative in shot making, embracing the ability to work the ball more, and focusing on strategically plotting your way around the course. Yes, there are swing benefits like better tempo, smooth distance, and being forced to hit the ball in the center of the club face, but you can work on all that without hickory clubs.
There is something about being 138 yards from the flag with a 5-iron mashie in hand that makes you look at the course and shot differently. You can’t just grab the 140 club and swing away.
If you’ve got a killer imagination at the range, sure you would get a lot of value out of it.