If it's winter yes, but the sound of 6-12 gpus is noisy so you would need to have it in a room where the airflow can warm up the rest of the house. Everything is still profitable at 25c/kwh you just need to lower the TDP of the gpus and hold what you're mining for a good sale price. You also need to mine something you think will go up.

As I tell most people though, it's probably better to put the 4-7K straight into investing in a coin/chain than it is to mine it. The freedom mining allows is that you can mine whatever you want if you want to.