Yes, but models and brands are very limited in that configuration.Zero turn with steering wheel is the answer
I'VE BEEN USING MY SIMPLICITY LEGACY (GARDEN TRACTOR W/TRACTOR TIRES & REAR PTO FOR THE TILLER) FOR 25 YEARS ON MY MOUND BEHIND THE POND. (THE MOUND WAS BUILT FROM THE 1/3 ACRE POND, I HAD DUG.) I'VE NEVER HAD A SLIP ISSUE. I ALSO USE MY BAD BOY ZT ~ 54" DECK, WITH NO SLIPS, REGARDLESS OF WHICH WAY I MOW...STRAIGHT ACROSS ~ STRAIGHT UP & DOWN, OR AT ANGLES. I'M GUESSING IT IS NO LESS THAN A 20 DEGREE CLIMB. I'D GIVE UP THE BAD BOY, LONG BEFORE I'D EVEN THINK OF GIVING UP MY SIMPLICITY. LOL YEP... THE POND IS ABOUT 20' FROM THE BOTTOM OF THE MOUND. LOLBuy a tractor built for this. I have very steep slopes in my yard. I use a Simplicity Prestige. It has a limited slip drive as well as locking traction control. It also has a 54 inch deck that aids in balance allows me to cut close to trees without needing a real sharp turn. You do have to be careful about turns on steep slopes to not damage turf, especially if the ground is not dry. I can go up and down steep slopes or crosswise. I do have to plan how to mow around trees on steep slopes to not damage the turf but I can't imagine a better way. I have tried other mowers including a 4x4 Prestige and a zero turn. The 4x4 worked well but did not turn sharp enough for me. That might be the ticket for you. I also have a Toro push mower but rarely use it. Unfortunately they stopped making new Simplicity Mowers but they are still or sale new and used. They are well built so it pays to fix up a used one if needed. They make a larger on called a Legacy, and a cheaper version called the Conquest.
Buy a garden tractor, why? ZTR = danger. No traction, NO Steering.I'm going to buy a new mower. I am trying to decide between a zero turn and a lawn tractor. I have a few pretty steep slopes, I will add pictures because I don't know what the angle is. I am trying to decide between z330m and x350. I will probably be mowing these slopes side to side, as opposed to up and down, or would maybe cutting up at a angle would be better. I've always cut it with a push mower and string trimmer. I'm getting to old for that now. I know I'll still have some weed eating to do. I want the mower that will get the most of this done and being safe. Any advice would help.