Depends. If you've got a really pricey scope, you might want to spend some money on good rings and take care not to damage it by tightening the rings too tight or having something mis-aligned and crunching it because of that.
I've mounted a lot of them before I had any of that stuff but they were mostly $100 scopes.
If it's a one-piece base and quality stuff, (not chinese) with good rings like Warne, Leo, Burris, you can probably get by without it. Just be careful tightening stuff so as not to strip threads.
I added to my collection of stuff and have the wheeler lapping / alignment kit, levels etc. Just recently added the torque wrench from Brownells so I feel a lot better about what I'm doing.
Spend the money on a decent set of screw drivers for guns screws tho. That helps as much as anything. The gun screw drivers are ground to fit the slot better so you don't screw up as many slots, etc. When I saw money tho, I used the B-Square kit for the longest time. Pretty good quality for the money.
That is just my humble opinion. Good luck.