How convenient! The answer is....absolutely not! By NKBA standards, you must have at least 9" on each side of a stove, cooktop or any other cooking surface. However, personally, I always plan no less than 24" on either side. Any cabinet placed above the stove - especially a gas stove - must be at least 30" up from that stove.
I understand your reluctance to submit to a remodel, but be safe. This is one way to ensure you will be.
Hope this helps.