Theoretically, yes
It is possible but do note that spren are sapient beings, not just an inanimate source of human empowerment or a pet. Some spren don't like each other, they might consider the person already taken, they might be repelled due to the nature of the Nahel Bond which joins the soul of the Radiant and the spren, making being a third party tricky, also holding to two different sets of Ideals could be very difficult for the Radiant.