Sure... very slowly.
Crawling: You can crawl 5 feet as a move action. Crawling incurs attacks of opportunity from any attackers who threaten you at any point of your crawl. A crawling character is considered prone and must take a move action to stand up, provoking an attack of opportunity.
Grease doesn't say anything about hampering crawling characters.
There are talents (notably Rogue Crawl) and feats (notably Monkey Moves) to improve crawling.