Absolutely. I noticed a long while back that I'd unconsciously mimic peoples' accents. And do a pretty good job of it apparently. At least until I noticed what I was doing, then had to awkwardly (and I suck at it, if I'm consciously trying to do it) try to maintain it during a conversation so they wouldn't think I was weird, switching accents in the middle of a sentence.
For instance, I've never lived outside of southern California but, after spending a weekend with my cousin from North Carolina, I had people asking me what part of the south I was from. Had a teacher, when I was a kid, who spoke with a thick Boston accent. She'd think I was making fun of her when I'd raise my hand and answer her questions in that same accent. Luckily, she thought it was funny.
Not just accents either. Gf's sister comes to visit and stay with us for a few weeks every so often. She's American, but has lived in Hungary with her English boyfriend for a few years, and so has developed very distinct speech patterns despite keeping her American accent. I noticed that within a couple hours of picking her up from the airport I was speaking in that same pattern.
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If life's not beautiful without the pain,
well I'd just rather never ever even see beauty again.
Well as life gets longer, awful feels softer.
And it feels pretty soft to me.
Modest Mouse - The View