There are ways to speed cure a little bit, but there is no secret recipe for soap (from scratch) that is truly ready (meaning fully cured and at its best) in a week. I assume M&P (melt and pour) is? I don't know about that, I don't make M&P. (not enough opportunity to hurt myself, lol)
You can try HP (hot process). This involved cooking the soap (usually in a crockpot). You can google for pics and tutorials. It is not ready the next day, but in my opinion, HP is good at 4 weeks and CP is good at 6 weeks. Now, even HP would benefit from more time for the water to evaporate out of the bar at 4 weeks.
Another way is to gel your CP soap. In my opinion, gelled soap is better at 1 week of age than ungelled soap is. But, again, we're still talking a 6 week cure time. Or longer.
Honestly, though, a 6-8 week cure time is best. Are you perhaps in a hurry for Christmas presents? If so, in your place, I would do HP. Put the soaps in a room with a dehumidifier if you have one. If not, put a fan on them.