Well beyond the fact that the schools will of course take those grades into account before they decide if they want to interview you, yes they can ask about specific grades or trends during the interview. I personally had a very strong upward trend (finished with a 3.72 cum, first semester got a 3.05) and during one interview they asked about both the trend and a specific low grade I got in a LAB during my first year.
EDIT: I realize now you are asking about if they care specifically about your spring grades. Yes, they will want you to send those as soon as they are available, as you should. Those I imagine should be released well before schools start even reviewing your secondary application. If you are asking if you can somehow get away with hiding your last semesters grades, the answer is definitely no.