The sentence with "can" sounds perfectly natural. The modal verb "can" is used for present and future time. It is used to express permission, possibility/certainty, and ability.
- He can drive his sister's truck (permission, possibility, ability)
- He could drive his sister's truck. (possibility/uncertainty in the present or ability in the past.)
He can use his sister's truck.
There are several possible interpretations
- someone has given permission for him to use his sister's truck.
- The speaker is expressing their level of certainty of doing something in the present.
- The speaker is referring to someone's ability to drive his sister's truck.
He can use his sister's truck next week.
This expresses permission/certainty/possibility/ability in the future
If she lends him her truck, he can bring the bathtub home next month.
This conditional sentence refers to a future time:
permission he needs his sister's permission
possibility from next month he can use his sister's truck to transport the bathtub
ability the capability to transport the bathtub on condition he borrows his sister's truck next month