Lucas chess is chess GUI, not an engine, but it comes with many different engines, some even tuned to different grandmasters styles. I am not sure what you meant by "learning how you play", but you can indeed adapt their strength and "personality" to always match more or less equal opponent. You can also have another engine watching the game giving you hints. I am sure having a personal trainer is better, but more expensive and time consuming and you would need practice as well. There is also a nice feature to play with a strong engine trying to survive as long as possible (i.e. the game stops if the evaluation drops below set threshold), it's nice for opening training.