It's generally safe to leave a portable power station plugged in all the time, as long as you follow the manufacturer's instructions and guidelines for use. However, it's important to keep in mind that continuous charging can affect the lifespan of the battery, so it's recommended to unplug it once the battery is fully charged.
Many portable power stations have built-in safety features to prevent overcharging, and some models even have "smart" charging technology that automatically stops charging once the battery is full. However, it's always a good idea to check the manufacturer's instructions to make sure you're using the power station safely and correctly.
It's also worth noting that leaving a portable power station plugged in all the time can use up electricity, so it may not be the most energy-efficient option. If you're concerned about energy consumption, you may want to consider unplugging the power station once it's fully charged, or using a timer or smart plug to control when it's charging.