No.
What you really need to do is at home set up some sort of Dynamic DNS Service such as No-IP (http://www.no-ip.com/) where a client runs on your machine at home, detects when your IP changes and updates a DNS record for your domain so you can access it via hostname (example.no-ip.com) instead of the IP address.
You could also check out DynDNS:
http://www.dyndns.com/
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Another solution if you have some sort of web space is to use something like
Dynamic IP monitor which uploads a file to your web site (via FTP etc) whenever your IP address changes - this means you can just call that file in your browser and have your most recent IP
