Quote from cnms2:
Yes you can, but you shouldn't!
If you have access to Lawrence McMillan's "Options as a Strategic Investment" check Chapter 18th "Buying Puts in Conjunction with Call Purchases" about straddle buying and follow-up actions (page 285 in my edition of the book).
McMillan describes the sort of follow-up you're planing as being inferior. Straddle buying is a limited risk with potentially unlimited profit strategy. By taking small profits you're reducing your chances for a substantial gain, while your aim should be to accept several small losses and waiting for a big winner whose magnitude will more than offset the sum of those small losses.
A better follow-up is to roll in the losing leg, in your case sell to close your 430 call and buy to open the 425 call. This way you won't limit your potential for large gains, while improving your risk exposure because your new position could be always sold for at least $5.
To summarize: if the underlying stock moves down to the next strike, you should consider rolling down your call, if it moves up you should consider rolling up your put.