Recent crown doesn't fit well against next tooth and food is getting stuck constantly.

If you were alreadyplanning on doing the other crown it is acceptable to close the space this way. Ideally you should not be packing food between your teeth. I suggest having the second crown temporarily cemented for a period of time to confirm that no food is packing. 

One of the check points to ascertain a good restoration is establishing a strong contact with surrounding teeth with exception when none is desired for functional and/or cosmetic reasons. Your case clearly indicates that such contact was not achieved. Glad to hear your dentist plans to address it, but as my colleague indicated above have a second crown placed on a temporary cement to give it all a test of time. Good luck , Dr. Daniyar

Hi:If the adjacent tooth does not need a crown and the only reason is to close the space, it would not be appropriate.  Unfortunately without X-rays and photo it is difficult to give you accurate advice.  You can always get a second opinion.Best,Dr. Maddahi