Is it permissible to use non-genuine (cracked) Photoshop software for work and profit, with the intention of buying the original version as soon as the money is available?

It is not permissible to earn a living by using a pirated copy of copyrighted software. Rather, the correct approach is to develop one's wealth through lawful means. If it is possible to purchase the original copy, then earning a living from it is permissible.