So likely no :)
TL;DR: possibly, but they also learn to speak Spanish a little bit if you want to be really sure.
Well, apparently babies start out being able to distinguish all sounds human languages make, and lose the ability to distinguish them as they specialize in the ones that the people in their surroundings speak (same with distinguishing human faces actually). And if a child grows up multi-lingual, especially if it is very early in their development, the ability to distinguish the sounds will "stick" even if they stop using the language.
I actually have some personal experience with that. According to my parents I spoke Spanish (among other languages) with the nuns running the hospital in Ghana, where my parents worked when I was a toddler. Then we returned to the Netherlands when I was almost four. This is right around the time childhood amnesia[0] is doing its thing. So I completely forgot how to speak Spanish, as well as the local Ghanaian languages that I allegedly also I spoke.
A few decades later, and completely unaware of this childhood experience, I dated a Spanish-Dutch woman, who also studied Spanish at the university. One time she got a Spanish joke book at her birthday party from her friends. So I said "I'm going to torture your ears with my horrible fake Spanish accent now". One (sadly, horribly unfunny) joke reading later the reaction was "is the joke that your fake Spanish sounds better than most second-year students in our bachelor?" And they were serious about it too.
(Another decade later I dated a Spanish woman who said that my Spanish accent still was pretty off, but of course she didn't have the horrible accent of Dutch first- and second-year students of Spanish as a comparison point. She approved of my rolling Rs though)