I'm right-handed and made myself learn my spins with both hands right from the get-go. In the process I discovered that for some reason my left hand doesn't sweat as much as my right hand does, so my grip is much better with my left and I tend to do all my spins lefty. I have to remind myself to do them with the right, and there's times when I can't do the spin as well with my right anymore!
However, I wasn't as strict with myself about doing inverts and any moves stemming from them. I do all my inverts righty. I can invert on my left and it looks ok to watch, but it's extremely awkward for me and I don't feel comfortable enough doing anything beyond an inverted crucifix on that side. I also keep trying to roll off my shoulder to dismount on the floor on the same shoulder I do for the right side, but since your legs are switched, I end up kinda falling off the pole... I keep forgetting I won't have that outside leg hooked when I'm rolling from the same shoulder!
Also, I've had some past injuries on my right arm that had forced me to try new things lefty. My wrist and elbow were both hurt badly at some point, and it wasn't until I started poling that I noticed that they didn't bother me anymore! I was amazed when I noticed I was able to straighten my right arm out all the way. I have a "loose" right wrist, too. If you watch my daily habits you notice I carry most heavy things with my left arm/hand (purses, bags, the baby, etc.) and I cut my food with a knife lefty, also. So it's not too hard to learn things on your non-dominant side... I wash dishes at a nursing home for a living, and after a flood forced us to re-do our dishroom, we ended up moving the wash arm hose from the middle of the counter off to the left next to the dishwasher. I made myself learn to use the hose with my left hand because I would've had to reach across my body, grab the hose, and then have the hose running across the front of me (between me and what I was washing) in order to hold it with my right hand and use it. It was really annoying! But after a few weeks or so it felt natural.
So if you make a conscious decision to make yourself learn to use that other hand, you can do it. 🥂