That sounded so easy that I went ahead and did it for you. (BTW this is my first post. I created an account for this.)
I did this on Secret of Mana Europe v1.1 (Rev1), but it's likely the same for all versions.
Please notice that this will make combat really uninspiring, removing a lot of strategy.
You can do it (for Player 1, I didn't play far enough to get the other characters yet) by forcing 0x00E1ED to 0x00.
The game sets this value to 0x5C after a sword swing, and to 0x5B after a dash (I guess it sets 0x5C before decrementing it).
I found this value by using BizHawk's RAM Watch functionality.
If you have some sort of cheat device, try 00E1ED:00 or DD33-070D (or C061ED:00 or DD13-570D for 64K range). The GameGenie codes there I converted to using this tool: (https://www.romhacking.net/utilities/23/)
Edit: Yep, seems to be the same on the US release. Also, it looks like the game reuses this value for something else during cutscenes, but I can't see any difference.