Beginner Question: Is it okay to play Em this way or should I just learn to change chords better?

About 3 months in, strictly acoustic so far, I play a few songs switching from Em to "big G" (w/ fingers 3&4 down)

Instead of using fingers 2 & 3 for Em then switching to the big G, it seems a smoother transition would be using Em w/ fingers 1 &2 (similar to E min7 chord without 3&4 down) then really just having to reposition those 2 since fingers 3 & 4 would pretty much already be where they need to be... does this even make sense?

Do people do this or do I just need to get better/ faster at changing chords lol