If you try to carry out an aldol reaction with an unsymmetrical ketone that have α protons in both sides (without using an enolate equivalent), you will get a mixture of products. If one predominates over the other depends on conditions of the reaction (time, temperature, base or acid used...), but you have a mixture anyway.
If you attempt this with two different ketones that could enolize, then you would have even more products. Bad idea.