yes...get it at Lowes. actually, what you will need is a 1.5" slip/slip coupler to go on the 1.5" pvc & then the other side, you will put in a 1.5"/1" reducer bushing. the 1" pvc will slide into the reducer bushing
taken from my receipt:
item # 23901 - 1.5" slip/slip coupler - $0.63
item # 23917 - 1.5" x 1" reducer bushing - $0.93
i just did that on my overflow that was a 1.5" bulkhead that i reduced down to 1" for the plumbing run to the sump
here is a clickable thumb of one part of my plumbing. it's a 1.5" sanitary tee that has those 1.5->1 reducers in each end to give ya an idea of what they look like. the top one has the 1" pvc in it & the other is empty. can't get a pic of the 1.5" slip/slip coupler cause it has the bulkhead & union attached, so you can't really see much on it